Groups with the same character degrees as almost simple Suzuki groups

摘要

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 with socle H0=Sz(q) such that cd(G)=cd(H), then G′≅H0 and G/Z(G) is isomorphic to H.