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

Olivier Brunat (Corresponding Author), Jean-Baptiste Gramain

Research output: Contribution to journal › Article

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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

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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
  • Double covering groups of the symmetric and alternating groups
  • Perfect isometries
  • Modular representation theory

ASJC Scopus subject areas

  • Mathematics(all)

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, Vol. 23, 02.2020, p. 193-207.

Research output: Contribution to journal › Article

Brunat, O & Gramain, J-B 2020, 'Basic Sets for the Double Covering Groups of the Symmetric and Alternating Groups in Odd Characteristic', Algebras and Representation Theory, vol. 23, pp. 193-207. https://doi.org/10.1007/s10468-018-9843-z
Brunat O, Gramain J-B. Basic Sets for the Double Covering Groups of the Symmetric and Alternating Groups in Odd Characteristic. Algebras and Representation Theory. 2020 Feb;23:193-207. https://doi.org/10.1007/s10468-018-9843-z
Brunat, Olivier ; Gramain, Jean-Baptiste. / Basic Sets for the Double Covering Groups of the Symmetric and Alternating Groups in Odd Characteristic. In: Algebras and Representation Theory. 2020 ; Vol. 23. pp. 193-207.
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  • Accepted Manuscript

    This is a post-peer-review, pre-copyedit version of an article published in Algebras and Representation Theory. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10468-018-9843-z

    Accepted author manuscript, 511 KBLicence: Unspecified