数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (1): 209-214.doi: 10.1016/S0252-9602(13)60138-1

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THE MAXIMAL NUMBER OF Iπ-CHARACTERS OVER NORMAL SUBGROUPS

周芳|米芳|刘合国   

  1. Department of Mathematics, Taiyuan Normal University, Taiyuan 030012, China; Department of Mathematics, Hubei University, Wuhan 430062, China
  • 收稿日期:2012-08-23 出版日期:2014-01-20 发布日期:2014-01-20
  • 基金资助:

    Supported by the NSF of Shanxi Province (2013011001-3).

THE MAXIMAL NUMBER OF Iπ-CHARACTERS OVER NORMAL SUBGROUPS

 ZHOU Fang, MI Fang, LIU He-Guo   

  1. Department of Mathematics, Taiyuan Normal University, Taiyuan 030012, China; Department of Mathematics, Hubei University, Wuhan 430062, China
  • Received:2012-08-23 Online:2014-01-20 Published:2014-01-20
  • Supported by:

    Supported by the NSF of Shanxi Province (2013011001-3).

摘要:

Let G be a π-separable group for a set of primes, let N be a normal subgroup of G, and let θ be an Iπ-character (i.e., irreducible π-partial character) of N. We obtain a necessary and sufficient condition for the number of Iπcharacters of G over θ to take the possible maximum |G : N|π. Some applications are given.

关键词: π-separable group, π-partial character,  , Iπ-character triple, Bπ-character

Abstract:

Let G be a π-separable group for a set of primes, let N be a normal subgroup of G, and let θ be an Iπ-character (i.e., irreducible π-partial character) of N. We obtain a necessary and sufficient condition for the number of Iπcharacters of G over θ to take the possible maximum |G : N|π. Some applications are given.

Key words: π-separable group, π-partial character,  , Iπ-character triple, Bπ-character

中图分类号: 

  • 20C15