Journal of Guangxi Normal University(Natural Science Edition) ›› 2011, Vol. 29 ›› Issue (1): 35-37.

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On π-quasinormal Subgroup of Finite Groups

LU Jia-kuan1, MENG Wei2   

  1. 1.College of Mathematical Sciences,Guangxi Normal University,Guilin Guangxi 541004,China;
    2.College of Mathematics and Computer Sciences,Yunnan Nationalities University,Kunming Yunnan 650031,China
  • Received:2010-09-04 Online:2007-03-25 Published:2018-11-16

Abstract: A subgroup H of a finite group G is calledπ-quasinormal in G if it is permutable with every Sylow subgroup of G.π-quasinormal subgroups are used to determine the structure of finite groups and obtain some sufficient conditions for a finite group tobe a p-solvable group or supersolvable group.

Key words: p-solvable groups, p-nilpotent groups, supersolvable groups

CLC Number: 

  • O152.1
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