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 be a finite group and an irreducible character of . A simple method for constructing a representation affording can be used whenever has a subgroup such that 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 is an irreducible character of 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:
https://doi.org/10.1090/S0025-5718-07-01969-2

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.