Irreducible restrictions of representations of symmetric and alternating groups in small characteristics

authored by

Alexander Kleshchev, Lucia Morotti, Pham Huu Tiep

Abstract

Building on reduction theorems and dimension bounds for symmetric groups obtained in our earlier work, we classify the irreducible restrictions of representations of the symmetric and alternating groups to proper subgroups. Such a classification is known 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. Our results fit 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

Advances in mathematics

Volume

369

ISSN

0001-8708

Publication date

05.08.2020

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Mathematics(all)

Electronic version(s)

https://doi.org/10.1016/j.aim.2020.107184 (Access: Closed)