| 有限群的c-半置换子群 |
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| 引用本文： | 殷霞.有限群的c-半置换子群[J].数学的实践与认识,2012,42(5):164-169. |
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| 作者姓名： | 殷霞 |
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| 作者单位： | 江南大学理学院,江苏无锡,214122 |
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| 摘 要： | 研究了有限群的结构问题,利用子群c-半置换和完全c-半置换的定义和性质,通过对有限群sylow子群的2-极大子群的研究,获得了有限群幂零、p-幂零的充分条件和另外两个决定群结构的充要条件.
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| 关 键 词： | c-半置换子群 sylow子群的2-极大子群 p-幂零群 幂零群 |
C-Semipermutable Subgroups of Finite Groups |
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| YIN Xia.C-Semipermutable Subgroups of Finite Groups[J].Mathematics in Practice and Theory,2012,42(5):164-169. |
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| Authors: | YIN Xia |
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| Institution: | YIN Xia (School of Science,Jiangnan University,Wuxi 214122,China) |
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| Abstract: | In this paper,we study the structures of finite groups.We obtain some sufficient conditions for a group to be nilpotent and p-nilpotent by using the 2-maximal subgroup of sylow subgroup to be c-semipermutable or completely c-semipermutable.We also use them to determine the structures of some finite groups. |
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| Keywords: | c-semipermutable subgroup 2-maximal subgroup of sylow subgroup p-nilpotent group nilpotent group |
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