Irreducible restrictions of representations of alternating groups in small characteristics: Reduction theorems

authored by

Alexander Kleshchev, Lucia Morotti, Pham Tiep

Abstract

We study irreducible restrictions from modules over alternating groups to proper subgroups, and prove reduction results which substantially restrict the classes of subgroups and modules for which this is possible. This problem had been solved when the characteristic of the ground field is greater than 3, but the small characteristics cases require a substantially more delicate analysis and new ideas. This work fits into the Aschbacher-Scott program on maximal subgroups of finite classical groups.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

University of Oregon
Rutgers University

Type

Article

Journal

Representation Theory of the American Mathematical Society

Volume

24

Pages

115-150

No. of pages

36

Publication date

20.02.2020

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Mathematics (miscellaneous)

Electronic version(s)

https://doi.org/10.1090/ERT/538 (Access: Closed)