Representations of the general linear groups which are irreducible over subgroups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We classify all triples $(G,V,H)$ such that $SL_n(q)\leq G\leq GL_n(q)$, $V$ is a representation of $G$ of dimension greater than one over an algebraically closed field $\FF$ of characteristic coprime to $q$, and $H$ is a proper subgroup of $G$ such that the restriction $V\dar_{H}$ is irreducible. This problem is a natural part of the Aschbacher-Scott program on maximal subgroups of finite classical groups.
36 pages. Amer. J. Math., to appear

Keywords

Representation Theory, Group Theory, 20C20, 20E28, 20G40

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/174345

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.2766
 http://arxiv.org/abs/0811.2766

Collections

arXiv