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

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Alternating group
Symmetric group
Finite Group
Refinement
Covering
Odd

Keywords

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

Cite this

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title = "The Isaacs-Navarro Conjecture for covering groups of the symmetric and alternating groups in odd characteristic",
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.",
keywords = "representation theory, symmetric group, covering groups, bar partitions",
author = "Jean-Baptiste Gramain",
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AB - 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.

KW - representation theory

KW - symmetric group

KW - covering groups

KW - bar partitions

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DO - 10.1007/s10801-011-0277-5

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