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.
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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 Name | Affiliation | 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 |
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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 |
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