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

Jean-Baptiste Gramain

doi:10.1007/s10801-011-0277-5

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

Jean-Baptiste Gramain

Mathematical Science

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 language	English
Pages (from-to)	401-426
Number of pages	26
Journal	Journal of Algebraic Combinatorics
Volume	34
Issue number	3
Early online date	8 Feb 2011
DOIs	https://doi.org/10.1007/s10801-011-0277-5
Publication status	Published - Nov 2011

Keywords

representation theory
symmetric group
covering groups
bar partitions

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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.",

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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

M3 - Article

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JO - Journal of Algebraic Combinatorics

JF - Journal of Algebraic Combinatorics

IS - 3

ER -

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

Abstract

Keywords

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