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THE $c$-SUPPLEMENTED PROPERTY OF FINITE GROUPS

Published online by Cambridge University Press:  17 May 2007

Huaquan Wei  and
Yanming Wang
Huaquan Wei
Affiliation:
Department of Mathematics, Guangxi Teacher's College, Nanning 530001, People's Republic of China (weihuaquan@163.com)
Yanming Wang
Affiliation:
Lingnan College and Department of Mathematics, Zhongshan University, Guangzhou 510275, People's Republic of China (stswym@zsu.edu.cn)
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Abstract

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The purpose of this paper is to study the influence of $c$-supplemented minimal subgroups on the $p$-nilpotency of finite groups. We obtain ‘iff' and ‘localized' versions of theorems of Itô and Buckley on nilpotence, $p$-nilpotence and supersolvability.

Keywords

Primary 20D10Secondary 20D20$c$-supplemented$p$-nilpotencenilpotencesupersolvableformation
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 50 , Issue 2 , June 2007 , pp. 493 - 508
Copyright
Copyright © Edinburgh Mathematical Society 2007