The codegree isomorphism problem for finite simple groups

2023/01/01 by Hung, Nguyen N., Moretó, Alexander
#20C30 #20C33 #20D06 #FOS: Mathematics #Group Theory (math.GR) #Primary 20C15 #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2301.00446

Abstract

We study the codegree isomorphism problem for finite simple groups. In particular, we show that such a group is determined by the codegrees (counting multiplicity) of its irreducible characters. The proof is uniform for all simple groups and only depends on the classification by means of Artin-Tits' simple order theorem.

Related

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• Finite groups with some bounded codegrees