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
Pages (from-to)193-207
Number of pages15
JournalAlgebras and Representation Theory
Volume23
Early online date19 Dec 2018
DOIs
Publication statusPublished - Feb 2020

Keywords

  • Basic set
  • perfect isometries
  • double covering groups of the symmetric and alternating groups
  • modular representation theory
  • Double covering groups of the symmetric and alternating groups
  • Perfect isometries
  • Modular representation theory
  • REPRESENTATIONS
  • BLOCKS
  • BRAUER CHARACTERS
  • FINITE-GROUPS

ASJC Scopus subject areas

  • Mathematics(all)

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