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

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Alexander Kleshchev
  • Lucia Morotti
  • Pham Huu Tiep

Research Organisations

External Research Organisations

  • University of Oregon
  • Rutgers University
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Details

Original languageEnglish
Article number107184
JournalAdvances in mathematics
Volume369
Early online date13 May 2020
Publication statusPublished - 5 Aug 2020

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.

Keywords

    Alternating groups, Irreducible restrictions, Modular representations, Symmetric groups

ASJC Scopus subject areas

Cite this

Irreducible restrictions of representations of symmetric and alternating groups in small characteristics. / Kleshchev, Alexander; Morotti, Lucia; Tiep, Pham Huu.
In: Advances in mathematics, Vol. 369, 107184, 05.08.2020.

Research output: Contribution to journal › Article › Research › peer review

Kleshchev A, Morotti L, Tiep PH. Irreducible restrictions of representations of symmetric and alternating groups in small characteristics. Advances in mathematics. 2020 Aug 5;369:107184. Epub 2020 May 13. doi: 10.1016/j.aim.2020.107184
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