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Mathematics of Computation

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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
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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Additional Information

Vahid Dabbaghian-Abdoly
Affiliation: The Centre for Experimental and Constructive Mathematics (CECM), Simon Fraser University, Burnaby, British Columbia, V5A 1S6, Canada

Keywords: Simple group, central cover, irreducible representation
Received by editor(s): November 27, 2005
Received by editor(s) in revised form: July 6, 2006
Published electronically: January 25, 2007
Additional Notes: This work was supported by the MITACS NCE and NSERC of Canada
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.