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

Alexander Kleshchev, Lucia Morotti, Pham Huu Tiep

Research output: Contribution to journalArticle

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)
JournalMathematische Zeitschrift
DOIs
StateAccepted/In press - Jan 1 2018
Externally publishedYes

Fingerprint

Symmetric group
Subgroup
Restriction
Module
Maximal Subgroup
Classical Groups
Theorem
Finite Group
Class

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Irreducible restrictions of representations of symmetric groups in small characteristics : reduction theorems. / Kleshchev, Alexander; Morotti, Lucia; Tiep, Pham Huu.

In: Mathematische Zeitschrift, 01.01.2018.

Research output: Contribution to journalArticle

@article{4460a424c7b6496d93777bde04054c44,
title = "Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems",
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.",
author = "Alexander Kleshchev and Lucia Morotti and Tiep, {Pham Huu}",
year = "2018",
month = "1",
day = "1",
doi = "10.1007/s00209-018-2203-1",
language = "English (US)",
journal = "Mathematische Zeitschrift",
issn = "0025-5874",
publisher = "Springer New York",

}

TY - JOUR

T1 - Irreducible restrictions of representations of symmetric groups in small characteristics

T2 - reduction theorems

AU - Kleshchev, Alexander

AU - Morotti, Lucia

AU - Tiep, Pham Huu

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85057979499&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85057979499&partnerID=8YFLogxK

U2 - 10.1007/s00209-018-2203-1

DO - 10.1007/s00209-018-2203-1

M3 - Article

AN - SCOPUS:85057979499

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

SN - 0025-5874

ER -