A CHARACTERIZATION OF SPORADIC SIMPLE GROUPS BY NSE AND ORDER

Abstract

Let G be a finite group and nse (G) the set of numbers of elements with the same order in G. In this paper, we prove that if ∣G∣ = ∣S∣ and nse (G) = nse (S), where S is a sporadic simple group, then the finite group G is isomorphic to S.