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

verfasst von

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.

Organisationseinheit(en)

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Externe Organisation(en)

University of Oregon
Rutgers University

Typ

Artikel

Journal

Representation Theory of the American Mathematical Society

Band

24

Seiten

115-150

Anzahl der Seiten

36

Publikationsdatum

20.02.2020

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Mathematik (sonstige)

Elektronische Version(en)

https://doi.org/10.1090/ERT/538 (Zugang: Geschlossen)