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Some necessary and sufficient conditions for p-nilpotence of finite groups

Published online by Cambridge University Press:  17 April 2009

Huaquan Wei
Affiliation:
School of Mathematics, Zhongshan University, Guangzhou, 510275, China and Deptartment of Mathematics, Guangxi Teacher's College, Nanning, 530001, China, e-mail: weihuaquan@163.com
Yanming Wang
Affiliation:
Lingnan College and School of Math., Zhongshan University, Guangzhou, 510275, China, email: stswym@zsu.edu.cn
Xiaolei Liu
Affiliation:
Lingnan College and School of Math., Zhongshan University, Guangzhou, 510275, China
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Abstract

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The purpose of this paper is to give some necessary and sufficient conditions for p-nilpotent groups. We extend some results, including the well-known theorems of Burnside and Frobenius as well as some very recent theorems. We also apply our results to determine the structure of some finite groups in terms of formation theory.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2003

References

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