Acta mathematica scientia, Series B >
THE MAXIMAL NUMBER OF Iπ-CHARACTERS OVER NORMAL SUBGROUPS
Received date: 2012-08-23
Online published: 2014-01-20
Supported by
Supported by the NSF of Shanxi Province (2013011001-3).
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
ZHOU Fang , MI Fang , LIU He-Guo . THE MAXIMAL NUMBER OF Iπ-CHARACTERS OVER NORMAL SUBGROUPS[J]. Acta mathematica scientia, Series B, 2014 , 34(1) : 209 -214 . DOI: 10.1016/S0252-9602(13)60138-1
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