## Constructing representations of higher degrees of finite simple groups and covers

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**76**(2007), 1661-1668 Request permission

## 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.## References

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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
- 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
- © Copyright 2007
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp.
**76**(2007), 1661-1668 - MSC (2000): Primary 20C40; Secondary 20C15
- DOI: https://doi.org/10.1090/S0025-5718-07-01969-2
- MathSciNet review: 2299793