Finite Groups All of Whose Second Maximal Subgroups Are $PSC^{*}$-Groups
Received:June 06, 2007  Revised:November 22, 2007
Key Words: Self-conjugate-permutable subgroups   $PSC^{*}$-groups   second maximal subgroups   third maximal subgroups   $p$-nilpotent groups.  
Fund Project:the National Natural Science Foundation of China (No.10871032); Guangxi Autonomous Region (No.0249001); Innovation Project of Guangxi Graduate Education (No.2007105930701M30).
Author NameAffiliation
SHEN Zhen Cai School of Mathematics, Suzhou University, Jiangsu 215006, China
Department of Mathematics, Guangxi University, Guangxi 530004, China 
LI Shi Rong Department of Mathematics, Guangxi University, Guangxi 530004, China 
LIU Jian Jun Department of Mathematics, Guangxi University, Guangxi 530004, China 
LIU Xiao Chun Department of Mathematics, Guangxi University, Guangxi 530004, China 
Hits: 2624
Download times: 2520
Abstract:
      This paper discusses the influence of minimal subgroups on the structure of finite groups and gives the structures of finite groups all of whose second maximal subgroups are $PSC^{*}$-groups.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.04.006
View Full Text  View/Add Comment