几类广义正规子群与有限群的p-幂零性

钟国, 林仕勋, 陈其乐, 覃利华

doi:10.13371/j.cnki.chin.q.j.m.2018.01.002

数学季刊 >

2018 , Vol. 33 >Issue 1: 17 - 24

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.01.002

几类广义正规子群与有限群的p-幂零性

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Faculty of Science and Technology, University of Macau. School of Mathematics and Statistics, Zhaotong University. School of Software Engineering, South China University of Technology. College of Mathematics and Computer Science, Guangxi Normal University for Nationlities.

LIN Shi-Xun(1987-), male, native of Nanning, Guangxi, M.S.D., Zhaotong University, engages in algebra.

收稿日期: 2013-05-05

网络出版日期: 2020-10-09

基金资助

Supported by SRFPYED(2017ZDX041)and SRFPYED(2016ZDX151)；

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Some Generalized Normal Subgroups and p-nilpotency of Finite Groups

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Faculty of Science and Technology, University of Macau. School of Mathematics and Statistics, Zhaotong University. School of Software Engineering, South China University of Technology. College of Mathematics and Computer Science, Guangxi Normal University for Nationlities.

LIN Shi-Xun(1987-), male, native of Nanning, Guangxi, M.S.D., Zhaotong University, engages in algebra.

Received date: 2013-05-05

Online published: 2020-10-09

Supported by

Supported by SRFPYED(2017ZDX041)and SRFPYED(2016ZDX151)；

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摘要

In this paper, the influence of s-semipermutable, c^#-normal, subnormally embedded and ss-quasinormal subgroups on the p-nilpotency of finite groups is investigated and some recent results are generalized.

关键词： s-semipermutable subgroups; c^#-normal subgroups; subnormally embedded subgroups; ss-quasinormal subgroups; p-nilpotency

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钟国, 林仕勋, 陈其乐, 覃利华 . 几类广义正规子群与有限群的p-幂零性[J]. 数学季刊, 2018 , 33(1) : 17 -24 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.01.002

Abstract

Key words： s-semipermutable subgroups; c^#-normal subgroups; subnormally embedded subgroups; ss-quasinormal subgroups; p-nilpotency

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