Курсовая работа : Конечные группы с заданными перестановочными подгруппами (работа 1) 


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Конечные группы с заданными перестановочными подгруппами (работа 1)




Курсовая работа

"Конечные группы с заданными 010009000003000400000000d20200000000d202000026060f009a05574d4643010000000000010000bc0000000001000000780500000000000078050000010000006c00000000000000000000000e000000150000000000000000000000a30100006502000020454d4600000100780500000c00000001000000000000000000000000000000900600001a040000d601000025010000000000000000000000000000f02b070088780400460000002c00000020000000454d462b014001001c000000100000000210c0db01000000600000006000000046000000ec010000e0010000454d462b224004000c000000000000001e4009000c00000000000000244001000c000000000000003040020010000000040000000000803f214007000c0000000000000008400005380100002c0100000210c0db01000000000000000000000000000000000000000100000089504e470d0a1a0a0000000d494844520000000f00000016080300000028d1362b000000017352474200aece1ce9000000097048597300000ec400000ec401952b0e1b0000003c504c544500000000004800007400489c0074bf480000489cdf74000074bfff9c48009cdfffbf7400bfffffdf9c48dfffffffbf74ffdf9cffffbfffffdfffffffc2324b640000006b4944415428cfa5904b0e80201043aba2e20751e7fe7795ce0c312c8d5d405f489b06482b7ce76b061024971391efc50d87480226719ecab5a15b95138ddc0bfa9d6c8635a1f6317e8e4c418d2b2a2735a58e29786f4d81751e0fbacf4db614de35c6369b58fbfefe47a307534212368668eaae0000000049454e44ae42608200000840010824000000180000000210c0db01000000030000000000000000000000000000001b40000040000000340000000100000002000000000000bf000000bf000070410000b04103000000000000b3000000b3ffff6f41000000b3000000b3ffffaf412100000008000000620000000c00000001000000150000000c00000004000000150000000c00000004000000510000002802000000000000000000000e00000015000000000000000000000000000000000000000f000000160000005000000078000000c800000060010000000000002000cc000f00000016000000280000000f000000160000000100080000000000000000000000000000000000140000000000000000000000ffffff00bfffff0000007400bf74000074bfff00ffbf74009c480000ffffdf00489cdf00df9c48000074bf0048000000ffdf9c00dfffff0000489c0074000000ffffbf009cdfff0000004800010101010101010101010101010101000101010101010101010101010101012e010101010101010101010101010101000101010101010101010101010101014001010101010101010101010101010105050000000006010b0000001011010100010500000a0101010b0000060101010001121300040101010500000601010100010e0f0007080101121300040101010001010b000c0d010102030007080101000101090000060101010b001011010100010112130000000000000000060101000101020300070801011213000a01010501010e0f00101101010203000401010001010109000c0d01010e0f00101101000101010500000a0101010b000c0d0100010101050000070801010900000a010001010203000000040105000000000600010101010101010101010101010101000101010101010101010101010101010001010101010101010101010101010100010101010101010101010101010101004c0000006400000000000000000000000e0000001500000000000000000000000f000000160000002900aa0000000000000000000000803f00000000000000000000803f0000000000000000000000000000000000000000000000000000000000000000220000000c000000ffffffff460000001c00000010000000454d462b024000000c000000000000000e000000140000000000000010000000140000000400000003010800050000000b0200000000050000000c0216000f00030000001e0004000000070104000400000007010400f9000000410b2000cc0016000f000000000016000f0000000000280000000f000000160000000100080000000000000000000000000000000000140000000000000000000000ffffff00bfffff0000007400bf74000074bfff00ffbf74009c480000ffffdf00489cdf00df9c48000074bf0048000000ffdf9c00dfffff0000489c0074000000ffffbf009cdfff0000004800010101010101010101010101010101000101010101010101010101010101012e010101010101010101010101010101000101010101010101010101010101014001010101010101010101010101010105050000000006010b0000001011010100010500000a0101010b0000060101010001121300040101010500000601010100010e0f0007080101121300040101010001010b000c0d010102030007080101000101090000060101010b001011010100010112130000000000000000060101000101020300070801011213000a01010501010e0f00101101010203000401010001010109000c0d01010e0f00101101000101010500000a0101010b000c0d0100010101050000070801010900000a010001010203000000040105000000000600010101010101010101010101010101000101010101010101010101010101010001010101010101010101010101010100010101010101010101010101010101000c00000040092900aa0000000000000016000f0000000000040000002701ffff030000000000-перестановочными подгруппами"

Содержание

Перечень условных обозначений

Введение

1. Необходимые определения и обозначения

2. Используемые результаты

3. Определения, примеры и общие свойства 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-перестановочных подгрупп

4. Конечные группы с заданными 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-перестановочными подгруппами

Заключение

Список использованных источников

Перечень условных обозначений

знак строгого включения множеств;

знак включения множеств;

принадлежность элемента множеству;

объединение множеств;

пересечение множеств;

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является подгруппой группы 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является субнормальной подгруппой группы 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является минимальной нормальной подгруппой группы 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Скобки применяются для обозначения подгрупп, порождённых некоторым множеством элементов или подгрупп.

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сопряжённая подгрупп 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посредством элемента 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симметрическая группа степени 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;

ядро подгруппы 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в группе 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, т.е. пересечение всех подгрупп, сопряжённых с 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в 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;

подгруппа, порожденная всеми подгруппами, сопряженными с подгруппой 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из 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элементами 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из 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то есть ;

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множества T в группе G;

центр группы G;

нормализатор подгруппы 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в группе 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группы 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подгруппа группы 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силовская 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группы 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дополнение к силовской 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в группе 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т.е. 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подгруппа группы 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;

группа G изоморфна группе 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;

Пусть 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 – группа, 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и 010009000003dc0500000000d40300000000d403000026060f009e07574d464301000000000001001f3100000000010000007c070000000000007c070000010000006c0000000000000000000000270000001200000000000000000000005e0400001102000020454d46000001007c0700000c00000001000000000000000000000000000000900600001a040000d601000025010000000000000000000000000000f02b070088780400460000002c00000020000000454d462b014001001c000000100000000210c0db010000006000000060000000460000003c02000030020000454d462b224004000c000000000000001e4009000c00000000000000244001000c000000000000003040020010000000040000000000803f214007000c0000000000000008400005880100007c0100000210c0db01000000000000000000000000000000000000000100000089504e470d0a1a0a0000000d4948445200000028000000130803000000d59dbf31000000017352474200aece1ce9000000097048597300000ec400000ec401952b0e1b00000051504c544500000000004800007400489c0074bf480000480048480074489cdf74000074004874489c74bfbf74bfdf74bfff9c48009c9c489cdfffbf7400bfffffdf9c48dfffffffbf74ffdf9cffffbfffffdfffffffd468e4b1000000a64944415438cbcd92db12c2200c44d78ada7a8142914bffff4365a5d476c4a92fce98b790c36613c0f865e09f418b14b202868e95fd3d675135c318cefa1df407b94c4de2e6d6d4b85e260923ead7c0a44d6c5b5aad046d112468929fd0c902022f8f51090a21e1c88c3f0d35c5dcc8ed3415fd5167d58ac7a8085a16f1f46b20ea53675b62f208dc160d577ba4e5a667118e476e1eeef313d20517b409a6e1816dee07dfec014a6e44696b6a5a7d0000000049454e44ae42608200000840010824000000180000000210c0db01000000030000000000000000000000000000001b40000040000000340000000100000002000000000000bf000000bf000020420000984103000000000000b3000000b3ffff1f42000000b3000000b3ffff97412100000008000000620000000c00000001000000150000000c00000004000000150000000c0000000400000051000000dc030000000000000000000027000000120000000000000000000000000000000000000028000000130000005000000094000000e4000000f8020000000000002000cc00280000001300000028000000280000001300000001000800000000000000000000000000000000001b0000000000000000000000ffffff00489cdf00ffbf7400bfffff00000074009c480000ffffdf00dfffff0000489c0074000000ffffbf0048007400ffdf9c009cdfff00000048000074bf00bfbf74009c487400bf740000df9c48007400480074bfff004800000048004800dfbf7400489c9c0001010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010e0f0000001401010101010101010101010101010101010101010101010101010101010101010101091401010e0f140101010101010101010101010101010101010101010101010101010101010101011606070101160a0b0101010101010101010101010101010101010101010101010101010101010101010110000019090301010101010101010104050000000006070101010101080900000a1a03010101010e0f030110001301010101010101010e0f03010101010101010101010110060701040513010101010e180d0101100607010101010101011013010101010101010101010108091401010102060701010104050301010e150b010101010101080903010101010101010101010104051401010116170d0101010110060701040503010101010101080900000000000006070101010108091301010e0f000a0b0101010e0f1401040514010101010101080903010101010101010101010101020a0b010101010101010101010405000011120701010101010110130101010101010101010101010e0f0301010101010101010101010101010101010101010101010e0f03010101010101010101010101100a0b0101010101010101010101010101010101010101010101040500000000060701010101010108090a0b01040c0d0101010101010101010101010101010101010101010101010101010101010101010102000000000301010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101014c0000006400000000000000000000002700000012000000000000000000000028000000130000002900aa0000000000000000000000803f00000000000000000000803f0000000000000000000000000000000000000000000000000000000000000000220000000c000000ffffffff460000001c00000010000000454d462b024000000c000000000000000e000000140000000000000010000000140000000400000003010800050000000b0200000000050000000c0213002800030000001e0004000000070104000400000007010400d3010000410b2000cc001300280000000000130028000000000028000000280000001300000001000800000000000000000000000000000000001b0000000000000000000000ffffff00489cdf00ffbf7400bfffff00000074009c480000ffffdf00dfffff0000489c0074000000ffffbf0048007400ffdf9c009cdfff00000048000074bf00bfbf74009c487400bf740000df9c48007400480074bfff004800000048004800dfbf7400489c9c0001010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010e0f0000001401010101010101010101010101010101010101010101010101010101010101010101091401010e0f140101010101010101010101010101010101010101010101010101010101010101011606070101160a0b0101010101010101010101010101010101010101010101010101010101010101010110000019090301010101010101010104050000000006070101010101080900000a1a03010101010e0f030110001301010101010101010e0f03010101010101010101010110060701040513010101010e180d0101100607010101010101011013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тогда:

правый смежный класс,

левый смежный класс;

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подгруппы 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в группе 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порядок группы G;

Пусть 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– подгруппы группы 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и 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тогда:

двойной смежный класс группы 0100090000038603000000009202000000009202000026060f001a05574d46430100000000000100c49d0000000001000000f804000000000000f8040000010000006c00000000000000000000000a000000120000000000000000000000330100001102000020454d4600000100f80400000c00000001000000000000000000000000000000900600001a040000d601000025010000000000000000000000000000f02b070088780400460000002c00000020000000454d462b014001001c000000100000000210c0db01000000600000006000000046000000e0010000d4010000454d462b224004000c000000000000001e4009000c00000000000000244001000c000000000000003040020010000000040000000000803f214007000c00000000000000084000052c010000200100000210c0db01000000000000000000000000000000000000000100000089504e470d0a1a0a0000000d494844520000000b00000013080300000071f707e2000000017352474200aece1ce9000000097048597300000ec400000ec401952b0e1b00000042504c544500000000004800007400489c0074bf480000489cdf74000074004874bfff9c48009c9c489cdfffbf7400bfffffdf9c48dfffffffbf74ffdf9cffffbfffffdfffffff0c4a69bc000000584944415418d3958e4b0e80300844c75aadc556d496fb5f5568fc6c5ce86c78790c099027f8ca0c4d34aee416295332ce8a67671fe2dde74b0b2a79d11dd4a08451d5d6a5e68db95fad9f7594e0db6d25c0cdf1cf6f2f7c007e890eab338734f30000000049454e44ae4260820000000840010824000000180000000210c0db01000000030000000000000000000000000000001b40000040000000340000000100000002000000000000bf000000bf000030410000984103000000000000b3000000b3ffff2f41000000b3000000b3ffff97412100000008000000620000000c00000001000000150000000c00000004000000150000000c0000000400000051000000b401000000000000000000000a00000012000000000000000000000000000000000000000b000000130000005000000080000000d0000000e4000000000000002000cc000b00000013000000280000000b000000130000000100080000000000000000000000000000000000160000000000000000000000ffffff00489cdf00ffbf7400dfffff0000489c0074000000ffffbf00bfffff0048007400ffdf9c000074bf009cdfff0000004800bf74000000007400df9c480074bfff00480000009c480000ffffdf00489c9c00010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010405000006150301010101010b131401080f0e01010101040510010101021314010101080f1001010111120a01010104050e01010c0d0006070101010206070101010101010101010c0d03010101010101010101010b0607010101010101010101040506070108090a01010101010102000000000301060101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101014c0000006400000000000000000000000a0000001200000000000000000000000b000000130000002900aa0000000000000000000000803f00000000000000000000803f0000000000000000000000000000000000000000000000000000000000000000220000000c000000ffffffff460000001c00000010000000454d462b024000000c000000000000000e000000140000000000000010000000140000000400000003010800050000000b0200000000050000000c0213000b00030000001e0004000000070104000400000007010400bf000000410b2000cc0013000b000000000013000b0000000000280000000b000000130000000100080000000000000000000000000000000000160000000000000000000000ffffff00489cdf00ffbf7400dfffff0000489c0074000000ffffbf00bfffff0048007400ffdf9c000074bf009cdfff0000004800bf74000000007400df9c480074bfff00480000009c480000ffffdf00489c9c00010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010405000006150301010101010b131401080f0e01010101040510010101021314010101080f1001010111120a01010104050e01010c0d0006070101010206070101010101010101010c0d03010101010101010101010b0607010101010101010101040506070108090a01010101010102000000000301060101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010c00000040092900aa0000000000000013000b0000000000040000002701ffff030000000000 по подгруппам

0100090000038003000000008e02000000008e02000026060f001205574d46430100000000000100d5070000000001000000f004000000000000f0040000010000006c00000000000000000000000b0000001200000000000000000000004f0100001102000020454d4600000100f00400000c00000001000000000000000000000000000000900600001a040000d601000025010000000000000000000000000000f02b070088780400460000002c00000020000000454d462b014001001c000000100000000210c0db01000000600000006000000046000000dc010000d0010000454d462b224004000c000000000000001e4009000c00000000000000244001000c000000000000003040020010000000040000000000803f214007000c0000000000000008400005280100001c0100000210c0db01000000000000000000000000000000000000000100000089504e470d0a1a0a0000000d494844520000000c000000130803000000932b1c9b000000017352474200aece1ce9000000097048597300000ec400000ec401952b0e1b0000003f504c544500000000004800007400489c0074bf480000480048489cdf74000074bfff9c48009cdfffbf7400bfffffdf9c48dfffffffbf74ffdf9cffffbfffffdfffffff7b9812f7000000584944415418d3958ed90e80300804576deda5ad3dfeff5b658389be98282f64162680f1287c860cb8d13ca624d0a391b4dac049f34120cf3be190a66375588ed0a3a3b226c2a52c85702b021bb36ab90bd18d9efcf3e80b9c107f0ecd7df3ec680000000049454e44ae42608200000840010824000000180000000210c0db01000000030000000000000000000000000000001b40000040000000340000000100000002000000000000bf000000bf000040410000984103000000000080b3000080b3ffff3f41000080b3000080b3ffff97412100000008000000620000000c00000001000000150000000c00000004000000150000000c0000000400000051000000b001000000000000000000000b00000012000000000000000000000000000000000000000c00000013000000500000007c000000cc000000e4000000000000002000cc000c00000013000000280000000c000000130000000100080000000000000000000000000000000000150000000000000000000000ffffff00489cdf00df9c4800bfffff000000740048000000ffdf9c00dfffff0000489c00bf7400009cdfff0000004800ffbf740074000000ffffbf0074bfff00480048009c480000ffffdf000074bf000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010200000a01040500060701010114121301010b0c0301010101100e0f010108090a0101010104050d0101010212130101010809030101010b110701010101020000000000000301010101100e0f010108090a0101010104050d010101020e0f01010108090a0101010b0c0d010101020000030104050006070101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101014c0000006400000000000000000000000b0000001200000000000000000000000c000000130000002900aa0000000000000000000000803f00000000000000000000803f0000000000000000000000000000000000000000000000000000000000000000220000000c000000ffffffff460000001c00000010000000454d462b024000000c000000000000000e000000140000000000000010000000140000000400000003010800050000000b0200000000050000000c0213000c00030000001e0004000000070104000400000007010400bd000000410b2000cc0013000c000000000013000c0000000000280000000c000000130000000100080000000000000000000000000000000000150000000000000000000000ffffff00489cdf00df9c4800bfffff000000740048000000ffdf9c00dfffff0000489c00bf7400009cdfff0000004800ffbf740074000000ffffbf0074bfff00480048009c480000ffffdf000074bf000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010200000a01040500060701010114121301010b0c0301010101100e0f010108090a0101010104050d0101010212130101010809030101010b110701010101020000000000000301010101100e0f010108090a0101010104050d010101020e0f01010108090a0101010b0c0d010101020000030104050006070101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010c00000040092900aa0000000000000013000c0000000000040000002701ffff030000000000 и 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;

факторгруппа группы 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 по подгруппе 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;

прямое произведение подгрупп A и B;

цоколь группы 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;

коммутатор элементов 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 и ;

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коммутант группы G;

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множество всех простых чисел;

дополнение к 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 во множестве 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, где 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 – некоторое множество простых чисел;

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-длина группы 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.

Введение

Напомним, что подгруппа 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группы 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 перестановочна с подгруппой 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, если . Если 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 перестановочна со всеми подгруппами группы 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, то она называется перестановочной [6] или квазинормальной в 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 [7].

Так как для двух перестановочных подгрупп 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 и 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 произведение также является подгруппой в 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, то понятие перестановочных подгрупп является одним из наиболее важных обобщений понятия нормальных подгрупп.

Перестановочные подгруппы имеют много интересных свойств. Как известно, например, что каждая перестановочная подгруппа является восходящей [8] и, если она является перестановочной подгруппой в некоторой конечной порождённой группе 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то 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субнормальна в 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[8].

Но фактически эти два результата были получены как обобщения следующего наблюдения: каждая перестановочная подгруппа конечной группы является субнормальной [7].

Разрабатывая этот результат Ito и Szep доказали, что для каждой перестановочной подгруппы 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конечной группы 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– нильпотентна [9].

Немного позже было доказано, что при таких условиях, 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[18].

При некоторых естественных условиях мы встречаемся с ситуацией, когда некоторые подгруппы 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и 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группы 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неперестановочны, но существует подгруппа такая, что для некоторого 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Основываясь на этом наблюдении мы дадим следующие определения.

Определение 1 Пусть 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– подгруппы группы 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и 010009000003a208000000004605000000004605000026060f00820a574d46430100000000000100fe6a0000000001000000600a000000000000600a0000010000006c000000000000000000000048000000120000000000000000000000f90700001102000020454d4600000100600a00000c00000001000000000000000000000000000000900600001a040000d601000025010000000000000000000000000000f02b070088780400460000002c00000020000000454d462b014001001c000000100000000210c0db01000000600000006000000046000000780200006c020000454d462b224004000c000000000000001e4009000c00000000000000244001000c000000000000003040020010000000040000000000803f214007000c0000000000000008400005c4010000b80100000210c0db01000000000000000000000000000000000000000100000089504e470d0a1a0a0000000d4948445200000049000000130803000000ebb8d07f000000017352474200aece1ce9000000097048597300000ec400000ec401952b0e1b0000004e504c544500000000004800007400489c0074bf48000048004848489c489cdf74000074004874007474bfff9c48009c48749c9c489cdfffbf7400bfffffdf9c48dfffffffbf74ffdf9cffffbfffffdfffffff589e50a5000000e64944415438cbed94d11a82200c854f66a585252202efffa201131a687775d3d7eec6c6bfc30185fb54e0d7491a8078dba080ce991e8791f2e58418c799b778027c493895fa282403dba18dfbd7255d76c6866672e63ac2494f377dcb6ae636b1a40f0cd5ac4bb2ab45cbb5043b849a64629de6581d1a4958145093b25a989e91ec00543628ca1360a329ab2d4934e532731742793927776a9fa25a7f0bcd04b28893b8dfc9a6575997a24948e093e3e9f8dbd395366d83768649f04344a159154e44b1cba9cb1beb51f9ea113d65207b9fca77d9f277b9270a681e62e76bd1edff5ff055d213f8ed78409ad7fdbe0000000049454e44ae426082000840010824000000180000000210c0db01000000030000000000000000000000000000001b40000040000000340000000100000002000000000000bf000000bf000092420000984103000000000000b3000000b3ffff9142000000b3000000b3ffff97412100000008000000620000000c00000001000000150000000c00000004000000150000000c000000040000005100000084060000000000000000000048000000120000000000000000000000000000000000000049000000130000005000000090000000e0000000a4050000000000002000cc00490000001300000028000000490000001300000001000800000000000000000000000000000000001a0000000000000000000000ffffff0074bfff00ffbf7400489cdf00df9c4800bfffff000000740048000000ffdf9c009cdfff00000048009c480000ffffdf000074bf00dfffff0000489c00bf74000074000000ffffbf0048007400740074009c4848004800480074489c00489c9c000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101021101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010104000008090101010101010101010f18130101010101010101010101040000110106070008090101010101010101010101010101010101010101010101010f1000001219030101000000010200030102080901010101010101010104050101010101010101010101010e0c0d01010a0b05010101010101010f1000000000000000000c0d0101010101010e0c0d010607110101010109010e0c0d010f100501010101010f1000000000000000000c0d01010101010102121301010f10110101010101010101010101010101010101010101010101010f1005010101040c0d010101010607110101010e0c0d0101010101010101010e030101010101010101010101060703010101040c0d010101010101010102000000000000000c0d0101010101060705010101020809010000000607050101010e0c0d0101010101010101010a160d010101010101010101010f10050101010a170901010101010101020809010101010101010101010101010f101101010a0b0012130101010607050101010e0c0d010101010f1000000000000000000c0d010101010101010400000000000005010101010101010e050101010101010101010101010101010412130101010101010101010f10050101010e0c0d010101010101010101010211010101010101010101010102121301010f10110101010101010f10050101010101010101010101010101010a0b03010101010101010101010e0c0d010607110101010101010101010101061513010101010101010101010607030101010412130101010101010e05010101010101010101010101010101010e121301010101011e1f01010a0b03010408090101010101010101010101010e03010101010101010101010f10110101010a0b030101010101010208090101010101010101010101010101010f101213010614090101140101020000000301010101010101010101010101010101010101010101010101040000050106070008090101010101010a0b0000000000000c0d010101010101010101040000000003000708010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101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Тогда мы говорим, что:

(1) 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является 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-перестановочной с 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, если для некоторого 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имеем .

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Заметим, что 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 – перестановочные подгруппы также являются перестановочными подгруппами. Во втором приведённом случае мы имеем дело с 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-перестановочными подгруппами, которые были исследованы и использованы в [].

Определение 2 Подгруппа 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группы 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 называется (наследственно) 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-перестановочной, если она (наследственно) перестановочна со всеми подгруппами группы 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.

Целью данной работы является изложение некоторых известных разделов теории перестановочных подгрупп, изучение и применение некоторых свойств 0100090000038003000000008e02000000008e02000026060f001205574d46430100000000000100d5070000000001000000f004000000000000f0040000010000006c00000000000000000000000b0000001200000000000000000000004f0100001102000020454d4600000100f00400000c00000001000000000000000000000000000000900600001a040000d601000025010000000000000000000000000000f02b070088780400460000002c00000020000000454d462b014001001c000000100000000210c0db01000000600000006000000046000000dc010000d0010000454d462b224004000c000000000000001e4009000c00000000000000244001000c000000000000003040020010000000040000000000803f214007000c0000000000000008400005280100001c0100000210c0db01000000000000000000000000000000000000000100000089504e470d0a1a0a0000000d494844520000000c000000130803000000932b1c9b000000017352474200aece1ce9000000097048597300000ec400000ec401952b0e1b0000003f504c544500000000004800007400489c0074bf480000480048489cdf74000074bfff9c48009cdfffbf7400bfffffdf9c48dfffffffbf74ffdf9cffffbfffffdfffffff7b9812f7000000584944415418d3958ed90e80300804576deda5ad3dfeff5b658389be98282f64162680f1287c860cb8d13ca624d0a391b4dac049f34120cf3be190a66375588ed0a3a3b226c2a52c85702b021bb36ab90bd18d9efcf3e80b9c107f0ecd7df3ec680000000049454e44ae42608200000840010824000000180000000210c0db01000000030000000000000000000000000000001b40000040000000340000000100000002000000000000bf000000bf000040410000984103000000000080b3000080b3ffff3f41000080b3000080b3ffff97412100000008000000620000000c00000001000000150000000c00000004000000150000000c0000000400000051000000b001000000000000000000000b00000012000000000000000000000000000000000000000c00000013000000500000007c000000cc000000e4000000000000002000cc000c00000013000000280000000c000000130000000100080000000000000000000000000000000000150000000000000000000000ffffff00489cdf00df9c4800bfffff000000740048000000ffdf9c00dfffff0000489c00bf7400009cdfff0000004800ffbf740074000000ffffbf0074bfff00480048009c480000ffffdf000074bf000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010200000a01040500060701010114121301010b0c0301010101100e0f010108090a0101010104050d0101010212130101010809030101010b110701010101020000000000000301010101100e0f010108090a0101010104050d010101020e0f01010108090a0101010b0c0d010101020000030104050006070101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101014c0000006400000000000000000000000b0000001200000000000000000000000c000000130000002900aa0000000000000000000000803f00000000000000000000803f0000000000000000000000000000000000000000000000000000000000000000220000000c000000ffffffff460000001c00000010000000454d462b024000000c000000000000000e000000140000000000000010000000140000000400000003010800050000000b0200000000050000000c0213000c00030000001e0004000000070104000400000007010400bd000000410b2000cc0013000c000000000013000c0000000000280000000c000000130000000100080000000000000000000000000000000000150000000000000000000000ffffff00489cdf00df9c4800bfffff000000740048000000ffdf9c00dfffff0000489c00bf7400009cdfff0000004800ffbf740074000000ffffbf0074bfff00480048009c480000ffffdf000074bf000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010200000a01040500060701010114121301010b0c0301010101100e0f010108090a0101010104050d0101010212130101010809030101010b110701010101020000000000000301010101100e0f010108090a0101010104050d010101020e0f01010108090a0101010b0c0d010101020000030104050006070101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010c00000040092900aa0000000000000013000c0000000000040000002701ffff030000000000-перестановочных подгрупп.

1. Необходимые определения и обозначения

Бинарной алгебраической операцией на множестве называют отображение декартова квадрата 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во множество . Если – бинарная операция на , то каждой упорядоченной паре 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элементов из соответствует однозначно определенный элемент 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Бинарную операцию на обозначают одним из символов: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и т.д. Если, например, вместо условимся писать , то вместо пишем .

Говорят, что на множестве X определена бинарная операция (умножение), если 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для всех .

Если для всех , то операция называется ассоциативной.

Если для всех , то операция называется коммутативной.

Элемент 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называется единичным, если 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для всех .

Обратным к элементу 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 называется такой элемент 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, что 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Полугруппой называется непустое множество 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 с бинарной алгебраической операцией (умножение), удовлетворяющей следующим требованиям:

(1) операция определена на 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, т.е. 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для всех и ;

(2) операция ассоциативна, т.е. 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для любых 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Группой называется непустое множество 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 с бинарной алгебраической операцией (умножением), удовлетворяющей следующим требованиям:

(1) операция определена на 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т.е. 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для всех 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и ;

(2) операция ассоциативна, т.е. 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для любых 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(3) в 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существует единичный элемент, т.е. такой элемент , что 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для всех 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(4) каждый элемент обладает обратным, т.е. для любого 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существует такой элемент , что 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Группу с коммутативной операцией называют коммутативной или абелевой.

Если G – конечное множество, являющееся группой, то G называют конечной группой, а число 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элементов в 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группы 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.

Также группой называется непустое множество 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 с бинарной алгебраической операцией (умножением), удовлетворяющей следующим требованиям:

(1) операция определена на 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;

(2) операция ассоциативна;

(3) уравнения 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имеют решения для любых элементов .

Подмножество 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 группы 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 называется подгруппой, если 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 – группа относительно той же операции, которая определена на группе 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. Для подгруппы используется следующее обозначение: 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Запись 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читается так: 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 – подгруппа группы 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.

Также можно дать следующее определение подгруппы конечной группы. Непустое подмножество 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конечной группы 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 называется подгруппой, если для всех и 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Каждая группа 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 обладает единичной подгруппой 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Сама группа 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также считается подгруппой в 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. Эти подгруппы называют тривиальными подгруппами. Нетривиальная подгруппа группы 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это такая подгруппа 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из 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которая отлична от 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 и отлична от единичной подгруппы 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.

Собственной называется подгруппа, отличная от группы.

Пусть 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 – подмножество группы 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 и 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Через

обозначим подмножество всех элементов группы 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 вида 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где 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 пробегает все элементы множества 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Подмножество называется подмножеством, сопряженным подмножеству 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 посредством элемента .

Подгруппа 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 называется подгруппой, сопряженной подгруппе 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 посредством элемента 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.

Пусть 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 – непустое подмножество группы 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. Совокупность всех элементов группы 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перестановочных с каждым элементом множества 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называется централизатором множества 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в группе 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 и обозначается через 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Таким образом,

Центром группы 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называется совокупность всех элементов группы 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, перестановочных с каждым элементом группы 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. Центр группы 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 обозначается через 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. Ясно, что , т.е. центр группы 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 совпадает с централизатором подмножества 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 в группе 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. Кроме того,

Зафиксируем элемент 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в группе 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. Пересечение всех подгрупп группы 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содержащих элемент 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, назовем циклической подгруппой, порожденной элементом 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, и обозначим через . Таким образом,

Для элемента 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имеются следующие две возможности.

Все степени элемента 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 различны, т.е. 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для целых 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В этом случае говорят, что элемент 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 имеет бесконечный порядок.

Имеются совпадения 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при 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Если, например, , то 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и 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т.е. существуют натуральные степени элемента 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, равные единичному элементу. Наименьшее натуральное число 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, при котором называют порядком элемента и пишут

Если группа 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 совпадает с одной из своих циклических подгрупп, то группу 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 называют циклической группой. В этом случае в группе 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 имеется элемент 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 такой, что , все элементы в группе 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 являются целыми степенями элемента 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:

Если элемент 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 имеет бесконечный порядок, то все эти элементы в группе 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 попарно различны и 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бесконечная циклическая группа.

Если элемент 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имеет конечный порядок 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то 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т.е. циклическая группа 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порожденная элементом 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порядка 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состоит из 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