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THE CLASSIFICATION OF SOME MODULAR FROBENIUS GROUPS

Part of: Representation theory of groups

Published online by Cambridge University Press:  25 July 2011

JUANJUAN FAN ,
NI DU  and
JIWEN ZENG
JUANJUAN FAN
Affiliation:
School of Mathematical Sciences, Xiamen University, Xiamen, PR China (email: maygaxm@hotmail.com)
NI DU*
Affiliation:
School of Mathematical Sciences, Xiamen University, Xiamen, PR China (email: duni@xmu.edu.cn)
JIWEN ZENG
Affiliation:
School of Mathematical Sciences, Xiamen University, Xiamen, PR China (email: jwzeng@xmu.edu.cn)
*
✉For correspondence; e-mail: duni@xmu.edu.cn
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Abstract

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Fix a prime number p. Let G be a p-modular Frobenius group with kernel N which is the minimal normal subgroup of G. We give the complete classification of G when N has three, four or five p-regular conjugacy classes. We also determine the structure of G when N has more than five p-regular conjugacy classes.

Keywords

modular Frobenius groupsminimal normal subgroupsp-regular conjugacy classes

MSC classification

Secondary: 20C20: Modular representations and characters
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 85 , Issue 1 , February 2012 , pp. 11 - 18
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

This research was supported by the Fundamental Research Funds for the Central Universities (No. 2010121003).

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