Basic sets for the double covering groups of the symmetric and alternating groups in odd characteristic

2016/06/08 by Brunat, Olivier, Gramain, Jean-Baptiste · 1 citation
#20C15 (Primary) #20C20 (Secondary) #20C30 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1606.02631

Abstract

In this paper, following the methods of http://arxiv.org/abs/1305.7449v2, we show that the double covering groups of the symmetric and alternating groups have p-basic sets for any odd prime p.

Cited by

• The Blockwise Navarro Alperin Weight Conjecture for Double Covers of Symmetric and Alternating Groups

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• 2-Coverings of classical groups
• Inductive AM condition for the alternating groups in characteristic 2
• Representations of symmetric and alternating groups and their double covers that remain irreducible modulo every prime
• Normal coverings and pairwise generation of finite alternating and symmetric groups
• Normal coverings of finite symmetric and alternating groups