The Isaacs-Navarro Conjecture for covering groups of the symmetric and alternating groups in odd characteristic

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Abstract

In this paper, we prove that a refinement of the Alperin–McKay Conjecture for p-blocks of finite groups, formulated by I.M. Isaacs and G. Navarro in 2002, holds for all covering groups of the symmetric and alternating groups, whenever p is an odd prime.
Original languageEnglish
Pages (from-to)401-426
Number of pages26
JournalJournal of Algebraic Combinatorics
Volume34
Issue number3
Early online date8 Feb 2011
DOIs
Publication statusPublished - Nov 2011

Keywords

  • representation theory
  • symmetric group
  • covering groups
  • bar partitions

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