Journal of Guangxi Normal University(Natural Science Edition) ›› 2012, Vol. 30 ›› Issue (3): 44-47.

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Maximal Supersolvable Subgroups and Supersolubility of Finite Groups

ZHONG Xiang-gui, LIAO Shu-hua, LI Ming-hua, TAN Chun-gui, CHEN Xiao-xiang   

  1. College of Mathematical Sciences,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2012-05-02 Online:2012-09-20 Published:2018-12-04

Abstract: Let G be a finite group.This paper introduces a new subgroup,which characterizes the intersection of all maximal supersolvable subgroups of G.By using this subgroup and its properties,some new results about the supersolvability of a group are obtained,which extend some recentresults.

Key words: maximal supersolvable subgroups, supersolvable groups, saturated formations

CLC Number: 

  • O152.1
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