Mathematics of Computation

Constructing representations of higher degrees of finite simple groups and covers

Author(s): Vahid Dabbaghian-Abdoly.
Journal: Math. Comp. 76 (2007), 1661-1668.
MSC (2000): Primary 20C40; Secondary 20C15
Posted: January 25, 2007
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Abstract: Let

be a finite group and $\chi$ an irreducible character of

. A simple method for constructing a representation affording $\chi$ can be used whenever

has a subgroup

such that $\chi_H$ has a linear constituent with multiplicity 1. In this paper we show that (with a few exceptions) if

is a simple group or a covering group of a simple group and $\chi$ is an irreducible character of

of degree between 32 and 100, then such a subgroup exists.

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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: 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
Posted: January 25, 2007
Additional Notes: This work was supported by the MITACS NCE and NSERC of Canada
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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