数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (2): 525-531.doi: 10.1016/S0252-9602(13)60016-8

• 论文 • 上一篇    下一篇

CHARACTERIZATION OF MODULAR FROBENIUS GROUPS OF SPECIAL TYPE

范娟娟|杜妮*|曾吉文   

  1. Department of Economics and Trade, Fujian Jiangxia University, Fuzhou 350108, China|School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
  • 收稿日期:2011-02-25 修回日期:2012-10-20 出版日期:2013-03-20 发布日期:2013-03-20
  • 通讯作者: 曾吉文，duni@xmu.edu.cn E-mail:mayga@163.com; duni@xmu.edu.cn; jwzeng@xmu.edu.cn
  • 基金资助:

    Supported by the National Natural Science Foun-dation of China (11171243, 11201385), the Technology Project of Department of Education of Fujian Province (JA12336), the Fundamental Research Funds for the Central Universities (2010121003), and the Science and the Natural Science Foundation of Fujian Province (2011J01022).

CHARACTERIZATION OF MODULAR FROBENIUS GROUPS OF SPECIAL TYPE

 FAN Juan-Juan, DU Ni*, ZENG Ji-Wen   

  1. Department of Economics and Trade, Fujian Jiangxia University, Fuzhou 350108, China|School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
  • Received:2011-02-25 Revised:2012-10-20 Online:2013-03-20 Published:2013-03-20
  • Contact: ZENG Ji-Wen，duni@xmu.edu.cn E-mail:mayga@163.com; duni@xmu.edu.cn; jwzeng@xmu.edu.cn
  • Supported by:

    Supported by the National Natural Science Foun-dation of China (11171243, 11201385), the Technology Project of Department of Education of Fujian Province (JA12336), the Fundamental Research Funds for the Central Universities (2010121003), and the Science and the Natural Science Foundation of Fujian Province (2011J01022).

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摘要：

In this article, we first investigate the properties of modular Frobenius groups. Then, we consider the case that G′ is a minimal normal subgroup of a modular Frobenius group G. We give the complete classification of G when G′ as a modular Frobenius kernel has no more than four conjugacy classes in G.

关键词: Modular Frobenius group, minimal normal subgroup, Frobenius group, conju-gacy classes

Abstract:

In this article, we first investigate the properties of modular Frobenius groups. Then, we consider the case that G′ is a minimal normal subgroup of a modular Frobenius group G. We give the complete classification of G when G′ as a modular Frobenius kernel has no more than four conjugacy classes in G.

Key words: Modular Frobenius group, minimal normal subgroup, Frobenius group, conju-gacy classes

中图分类号: 

  • 20C15
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