Basic Sets for the Double Covering Groups of the Symmetric and Alternating Groups in Odd Characteristic

Olivier Brunat (Corresponding Author), Jean-Baptiste Gramain

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Abstract

In this paper, following the methods of Brunat and Gramain (J. Reine Angew. Math. 641, 5 177–202, 2010), we show that the double covering groups of the symmetric and alternating 6 groups have p-basic sets for any odd prime p.
Original languageEnglish
Number of pages15
JournalAlgebras and Representation Theory
Early online date19 Dec 2018
DOIs
Publication statusE-pub ahead of print - 19 Dec 2018

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Alternating group
Symmetric group
Covering
Odd

Keywords

  • Basic set
  • perfect isometries
  • double covering groups of the symmetric and alternating groups
  • modular representation theory

Cite this

Basic Sets for the Double Covering Groups of the Symmetric and Alternating Groups in Odd Characteristic. / Brunat, Olivier (Corresponding Author); Gramain, Jean-Baptiste.

In: Algebras and Representation Theory, 19.12.2018.

Research output: Contribution to journalArticle

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