Some Generalized Normal Subgroups and p-nilpotency of Finite Groups

ZHONG Guo, LIN Shi-Xun, CHEN Qi-le, QIN Li-hua

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

Chinese Quarterly Journal of Mathematics >

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

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

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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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

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

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