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A NOTE ON THE $p$ -SUPERSOLUBILITY OF FINITE GROUPS

Part of: Representation theory of groups

Published online by Cambridge University Press:  03 June 2016

CHANGWEN LI ,
XIAOLAN YI  and
SHOUHONG QIAO
CHANGWEN LI*
Affiliation:
School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, China email lcw2000@126.com
XIAOLAN YI
Affiliation:
School of Science, Zhejiang Sci-Tech University, Hangzhou 310018, China email qshqsh513@163.com
SHOUHONG QIAO
Affiliation:
School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, China email yixiolan2005@126.com
*
✉ lcw2000@126.com
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Abstract

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In this paper, we investigate the influence of certain subgroups of fixed prime power order on the $p$ -supersolubility of finite groups.

Keywords

p-soluble groupp-supersoluble groupE–S-supplemented

MSC classification

Primary: 20D10: Solvable groups, theory of formations, Schunck classes, Fitting classes, $pi$-length, ranks
Secondary: 20D20: Sylow subgroups, Sylow properties, $pi$-groups, $pi$-structure

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 94 , Issue 3 , December 2016 , pp. 431 - 436
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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