Journal of Guangxi Normal University(Natural Science Edition) ›› 2010, Vol. 28 ›› Issue (2): 34-37.

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F -Subgroups and Supersolubility of Finite Groups

ZHONG Xiang-gui, ZHANG Hong, HE Jia-wen   

  1. College of Mathematical Sciences,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2010-01-07 Online:2010-06-20 Published:2023-02-07

Abstract: Let F be a class of groups.A subgroup Hof a group G is called the F -subgroup of G if there exists a normal subgroup B of G such that HB —G,B/(B∩HG)∈F and B contains a Sylow q-subgroup of G for any prime q with (q,｜H｜)=1.By using F -subgroups of prime powerorder,this paper provides some sufficient conditions for G to be supersolvable.

Key words: F -subgroups, supersolvable groups, saturated formations

CLC Number: 

  • O152.1
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