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

verfasst von

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.

Organisationseinheit(en)

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Externe Organisation(en)

University of Oregon
Rutgers University

Typ

Artikel

Journal

Advances in mathematics

Band

369

ISSN

0001-8708

Publikationsdatum

05.08.2020

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Mathematik (insg.)

Elektronische Version(en)

https://doi.org/10.1016/j.aim.2020.107184 (Zugang: Geschlossen)