Let G be a finite group and cd(G) denote the set of complex irreducible
character degrees of G. In this paper, we prove that if G is a finite group
and H is an almost simple group whose socle is Mathieu group such that cd(G)=cd(H), then there exists an Abelian subgroup A of G such that G/A is
isomorphic to H. 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