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A CHARACTERIZATION OF SPORADIC SIMPLE GROUPS BY NSE AND ORDER

    https://doi.org/10.1142/S0219498812501587Cited by:10 (Source: Crossref)

    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.

    AMSC: 20D06, 20D60

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