The Isaacs-Navarro Conjecture for covering groups of the symmetric and alternating groups in odd characteristic. | math-arch.ru

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

Чт, 03/25/2010 - 16:01 — SomNambul

Authors: Jean-Baptiste Gramain
Subjects: Representation Theory

link: http://arxiv.org/abs/1003.4704
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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