Chinese Quarterly Journal of Mathematics ›› 2018, Vol. 33 ›› Issue (1): 17-24.doi: 10.13371/j.cnki.chin.q.j.m.2018.01.002

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Some Generalized Normal Subgroups and p-nilpotency of Finite Groups

  

  1.  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);

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

CLC Number: