| 李金宝,余大鹏.弱 c- 可置换子群对有限群结构的影响[J].数学年刊A辑,2016,37(2):137~146 |
| 弱 c- 可置换子群对有限群结构的影响 |
| The Influence of Weakly $c$-Permutable Subgroups on the Structure of Finite Groups |
| Received:January 15, 2015 Revised:June 16, 2015 |
| DOI： |
| 中文关键词: 有限群, 弱$c$-可置换子群, 极小子群 |
| 英文关键词:Finite groups, Weakly $c$-permutable subgroups,
Minimal subgroups |
| 基金项目:本文受到国家自然科学基金(No.11501071)和重庆市自然科学基金(No.cstc2014jcyjA0148, No.cstc2015jcyjA00052)的资助 |
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| 中文摘要: |
| Guo和Chen在2010年引入了弱$c$-\!\!可置换子群的概念,
并利用这种新的广义置换性质对有限群的结构给出了一些新的刻画. 本文推广了上述文献中的两个主要结论,
确定了极小子群为弱$c$-\!\!可置换子群的有限群的结构. |
| 英文摘要: |
| Guo and Chen
introduced the concept of weakly $c$-permutable subgroups in 2010, and
presented some new characterizations of the structure of finite
groups in terms of this generalized permutability. In this paper, two
results obtained in the above article are first generalized and then
the structure of groups whose minimal subgroups are weakly
$c$-permutable is determined. |
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