Journal of Guangxi Normal University(Natural Science Edition) ›› 2014, Vol. 32 ›› Issue (2): 60-63.

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CSS-Quasinormal Subgroups and p-Nilpotency of Finite Groups

WU Yong, ZHONG Xiang-gui, JIANG Qing-zhi, ZHANG Xiao-fang   

  1. College of Mathematics and Statistics, Guangxi Normal University, Guilin Guangxi 541004, China
  • Received:2014-03-03 Online:2014-06-25 Published:2018-09-25

Abstract: A subgroup H of a finite group G is said to be CSS-quasinormal in G if there exists a quasinormal subgroup T of G such that G =HT and H∩T is SS-quasinormal in G. This paper investigated the p-nilpotency of a group G under the assumption that certain subgroups of prime power order are CSS-quasinormal in G. The results generalized some known works in the literatures.

Key words: finite group, CSS-quasinormal subgroups, p-nilpotent groups

CLC Number: 

  • O152.1
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