FINITE GROUPS WITH SOME QUASINORMAL AND SELFNORMALIZING SUBGROUPS

Authors

  • Zhangjia Han Chengdu University of Information Technology - School of Applied Mathematics
  • Chao Yang Chengdu University of Information Technology - School of Applied Mathematics

Keywords:

quasinormal subgroups, selfnormalizing subgroups, second maximal subgroups, minimal subgroups

Abstract

A subgroup H of a finite group G is called quasinormal in G if HK = KH holds for every subgroup K of G.  In this paper, we mainly give the structure of finite nonabelian simple groups in which every cyclic subgroups of order 2 and order 4 of every second maximal subgroups is either quasinormal or selfnormalizing.

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Published

2016-07-29

How to Cite

Han, Z., & Yang, C. (2016). FINITE GROUPS WITH SOME QUASINORMAL AND SELFNORMALIZING SUBGROUPS. Italian Journal of Pure and Applied Mathematics, 36, 79–86. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6652

Issue

N°36 - July 2016

Section

Articoli - Forum Editrice

License

Copyright (c) 2016 Zhangjia Han, Chao Yang

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)