Geodesic
Constructing Representations of Finite Simple Groups and Covers
Canadian journal of mathematics, Tome 58 (2006) no. 1, pp. 23-38

Voir la notice de l'article provenant de la source Cambridge University Press

Let $G$ be a finite group and $\chi $ be an irreducible character of $G$ . An efficient and simple method to construct representations of finite groups is applicable whenever $G$ has a subgroup $H$ such that $\chi H$ has a linear constituent with multiplicity 1. In this paper we show (with a few exceptions) that if $G$ is a simple group or a covering group of a simple group and $\chi $ is an irreducible character of $G$ of degree less than 32, then there exists a subgroup $H$ (often a Sylow subgroup) of $G$ such that $\chi H$ has a linear constituent with multiplicity 1.
DOI : 10.4153/CJM-2006-002-3
Mots-clés : 20C40, 20C1, group representations, simple groups, central covers, irreducible representations 
Dabbaghian-Abdoly, Vahid. Constructing Representations of Finite Simple Groups and Covers. Canadian journal of mathematics, Tome 58 (2006) no. 1, pp. 23-38. doi: 10.4153/CJM-2006-002-3
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