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

Alexander Kleshchev, Lucia Morotti, Pham Huu Tiep

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)115-150
Number of pages36
JournalRepresentation Theory
Volume24
Issue number4
DOIs
StatePublished - 2020
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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