THE CLASSIFICATION OF SOME MODULAR FROBENIUS GROUPS

Author:

FAN JUANJUAN,DU NI,ZENG JIWEN

Abstract

AbstractFix 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

1. The number of conjugacy classes in a finite group

2. Lifting Brauer characters ofp-solvable groups

3. Permutation Groups

4. [4] The GAP Group, ‘GAP – Groups, Algorithms, and Programming’, Version 4.4, 2006, http://www.gap-system.org.

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A Special Class of p-Module Frobenius Groups;Advances in Applied Mathematics;2023

2. A note on modular Frobenius groups;Journal of Algebra and Its Applications;2020-10-12

3. Groups Whose Nonlinear Irreduciblep-Brauer Characters are Real Valued;Communications in Algebra;2015-10-19

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