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 | References | Similar Articles | Additional Information
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
Email:
vdabbagh@cecm.sfu.ca
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.