具有几乎c-置换子群的有限群

广东工业大学学报 ›› 2011, Vol. 28 ›› Issue (1): 54-57.

具有几乎c-置换子群的有限群

广东工业大学应用数学学院，广东广州 510006

出版日期:2011-12-25 发布日期:2011-12-25
作者简介:乔守红（1981-），男，讲师，博士，主要研究方向为代数学及其应用.
基金资助:
广东工业大学校博士启动项目（093057）

Online:2011-12-25 Published:2011-12-25

摘要/Abstract

摘要： 令G为有限群,H≤G.若存在G的次正规子群T使得G=HT且H∩T在G中完全c置换,则H在G中被称为是几乎c-置换的.本文研究素数幂阶子群的几乎c-置换性对有限群结构的影响，得到一些有趣的结果.

关键词: 有限群；弱c-置换；几乎c置换；群系；超可解群

Abstract: Finite Groups with Some Almost cPermutable Subgroups
〖WT5BZ〗Qiao Shouhong， Guo Dachang
〖WT5”〗（Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006，China）

Let G be a finite group,and H≤G.H is called almost c-permutable in Gif there is a subnormal subgroup TofG such that G=HT and H∩T is completely c-permutable in G.The influence of almost c-permutability of prime-power order subgroups on the structure of G is investigated，and some interesting results are obtained.

Key words: finite groups; weakly c-permutable; almost c-permutable; saturated formation; supersolvable groups

乔守红, 郭大昌. 具有几乎c-置换子群的有限群[J]. 广东工业大学学报, 2011, 28(1): 54-57.

QIAO Shou-Hong, GUO Da-Chang-. [J]. Journal of Guangdong University of Technology, 2011, 28(1): 54-57.

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