Research ArticleNo Access

Irreducible products of characters

Huimin Chang

School of Mathematical Sciences, Shanxi University, Taiyuan 030006, P. R. China

E-mail Address: changhuimin1113@163.com

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and

Ping Jin

School of Mathematical Sciences, Shanxi University, Taiyuan 030006, P. R. China

E-mail Address: jinping@sxu.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0219498820500693Cited by:1 (Source: Crossref)

Abstract

We introduce the notion of Fitting characters for arbitrary finite groups, and prove that under some conditions the product of these characters is irreducible and the unique factorization of this form also holds. Moreover, we show that any nonlinear quasi-primitive character of solvable groups can be uniquely factored (up to multiplication by linear characters) as the product of certain Fitting characters on some extension groups.

Communicated by M. Lewis

Keywords:

AMSC: 20C15

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