Skip to main content

Research Repository

Advanced Search

Growth of cross-characteristic representations of finite quasisimple groups of Lie type

Häsä, Jokke

Authors

Jokke Häsä



Abstract

In this paper we give a bound to the number of conjugacy classes of maximal subgroups of any almost simple group whose socle is a classical group of Lie type. The bound is View the MathML source, where n is the dimension of the classical socle and q is the size of the defining field. To obtain the bound, we first bound the number of projective cross-characteristic representations of simple groups of Lie type as a function of the representation degree. These bounds are computed for different families of groups separately. In the computation, we use information on conjugacy class numbers, minimal character degrees and gaps between character degrees.

Citation

Häsä, J. (2014). Growth of cross-characteristic representations of finite quasisimple groups of Lie type. Journal of Algebra, 407, 275-306. https://doi.org/10.1016/j.jalgebra.2014.02.031

Journal Article Type Article
Publication Date Jun 1, 2014
Deposit Date Jul 25, 2014
Publicly Available Date Jun 8, 2015
Journal Journal of Algebra
Print ISSN 0021-8693
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 407
Pages 275-306
DOI https://doi.org/10.1016/j.jalgebra.2014.02.031
Keywords Representation growth, Maximal subgroups, Classical groups.
Related Public URLs http://arxiv.org/abs/1112.3941

Files




You might also like



Downloadable Citations