几类广义正规子群与有限群的p-幂零性

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

数学季刊 ›› 2018, Vol. 33 ›› Issue (1): 17-24.doi: 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

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.

收稿日期:2013-05-05 出版日期:2018-03-30 发布日期:2020-10-09
作者简介:LIN Shi-Xun(1987-), male, native of Nanning, Guangxi, M.S.D., Zhaotong University, engages in algebra.
基金资助:
Supported by SRFPYED(2017ZDX041)and SRFPYED(2016ZDX151)；

Some Generalized Normal Subgroups and p-nilpotency of Finite Groups

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.

Received:2013-05-05 Online:2018-03-30 Published:2020-10-09
About author:LIN Shi-Xun(1987-), male, native of Nanning, Guangxi, M.S.D., Zhaotong University, engages in algebra.
Supported by:
Supported by SRFPYED(2017ZDX041)and SRFPYED(2016ZDX151)；

摘要/Abstract

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

Abstract: 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.

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

中图分类号:

O152.1

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.

ZHONG Guo, LIN Shi-Xun, CHEN Qi-le, QIN Li-hua. Some Generalized Normal Subgroups and p-nilpotency of Finite Groups[J]. Chinese Quarterly Journal of Mathematics, 2018, 33(1): 17-24.

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几类广义正规子群与有限群的p-幂零性

Some Generalized Normal Subgroups and p-nilpotency of Finite Groups

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