Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems

Alexander Kleshchev, Lucia Morotti, Pham Huu Tiep

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We study irreducible restrictions of modules over symmetric groups to subgroups. We get reduction results which substantially restrict the classes of subgroups and modules for which this is possible. Such results are 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. This work fits into the Aschbacher–Scott program on maximal subgroups of finite classical groups.

Original languageEnglish (US)
Pages (from-to)677-723
Number of pages47
JournalMathematische Zeitschrift
Volume293
Issue number1-2
DOIs
StatePublished - Oct 1 2019

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems'. Together they form a unique fingerprint.

  • Cite this