THE MAXIMAL NUMBER OF Iπ-CHARACTERS OVER NORMAL SUBGROUPS

doi:10.1016/S0252-9602(13)60138-1

Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (1): 209-214.doi: 10.1016/S0252-9602(13)60138-1

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THE MAXIMAL NUMBER OF I_π-CHARACTERS OVER NORMAL SUBGROUPS

ZHOU Fang, MI Fang, LIU He-Guo

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).

Abstract

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 I_π-character (i.e., irreducible π-partial character) of N. We obtain a necessary and sufficient condition for the number of I_πcharacters of G over θ to take the possible maximum |G : N|_π. Some applications are given.

Key words: π-separable group, π-partial character, , I_π-character triple, B_π-character

CLC Number:

20C15

ZHOU Fang, MI Fang, LIU He-Guo. THE MAXIMAL NUMBER OF I_π-CHARACTERS OVER NORMAL SUBGROUPS[J].Acta mathematica scientia,Series B, 2014, 34(1): 209-214.

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THE MAXIMAL NUMBER OF I_π-CHARACTERS OVER NORMAL SUBGROUPS

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