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

Mathematics – Representation Theory

Scientific paper

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Scientific paper

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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