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

Jean-Baptiste Gramain

paper

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

arXiv: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.