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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

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
Email: vdabbagh@cecm.sfu.ca

DOI: http://dx.doi.org/10.1090/S0025-5718-07-01969-2
PII: S 0025-5718(07)01969-2
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.