| 完全条件置换子群对有限群结构的影响 |
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| 引用本文： | 高建玲.完全条件置换子群对有限群结构的影响[J].山西师范大学学报,2009,23(1):15-17. |
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| 作者姓名： | 高建玲 |
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| 作者单位： | 山西大同大学数学与计算机科学学院,山西,大同,037009
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| 摘 要： | 群G的子群H称为在G中完全条件置换的，如果对于G的每个子群K，都存在x∈（H，K），使得HE^z=F^zH本文利用子群的完全条件置换性来讨论有限群的结构，得到了有限群为超可解群，P-幂零群的充分条件．
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| 关 键 词： | 完全条件置换子群 超可解群 P-幂零群 |
Influences of Completely Conditionally Permutable Subgroups on the Structure of Finite Groups |
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| GAO Jian-ling.Influences of Completely Conditionally Permutable Subgroups on the Structure of Finite Groups[J].Journal of Shanxi Teachers University,2009,23(1):15-17. |
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| Authors: | GAO Jian-ling |
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| Institution: | School of Mathematics and Computer Science;Shanxi Datong University;Datong 037009;Shanxi;China |
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| Abstract: | A subgroup H of a group G is said to be completely conditionally permutable in G if forevery subgroup k of G. There exists an element x ∈〈H , K） such that HK^z = K^zH. In this paper the structures of finite groups are discussed by means of the completely conditionally permutability of some subgroups, some sufficient conditions for a finite group to be supersolvable orp- nilpotent are obtained. |
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| Keywords: | completely conditionally permutable subgroups supersolvable group p-nilpotent group |
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