research

On groups with the same character degrees as almost simple groups with socle the Mathieu groups

Abstract

Let GG be a finite group and cd(G)cd(G) denote the set of complex irreducible character degrees of GG. In this paper, we prove that if GG is a finite group and HH is an almost simple group whose socle is Mathieu group such that cd(G)=cd(H)cd(G) =cd(H), then there exists an Abelian subgroup AA of GG such that G/AG/A is isomorphic to HH. This study is heading towards the study of an extension of Huppert's conjecture (2000) for almost simple groups.Comment: arXiv admin note: text overlap with arXiv:1108.0010 by other author

    Similar works