Constructing representations of higher degrees of finite simple groups and covers

Dabbaghian-Abdoly, Vahid

doi:10.1090/S0025-5718-07-01969-2

Constructing representations of higher degrees of finite simple groups and covers

Author: Vahid Dabbaghian-Abdoly
Journal: Math. Comp. 76 (2007), 1661-1668
MSC (2000): Primary 20C40; Secondary 20C15
DOI: https://doi.org/10.1090/S0025-5718-07-01969-2
Published electronically: January 25, 2007
MathSciNet review: 2299793
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Abstract: Let $G$ be a finite group and $\chi$ an irreducible character of $G$. A simple method for constructing a representation affording $\chi$ can be used whenever $G$ has a subgroup $H$ such that $\chi _H$ has a linear constituent with multiplicity 1. In this paper we show that (with a few exceptions) if $G$ is a simple group or a covering group of a simple group and $\chi$ is an irreducible character of $G$ of degree between 32 and 100, then such a subgroup exists.

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