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A NEW CHARACTERIZATION OF SOME LINEAR GROUPS BY NSE

    https://doi.org/10.1142/S0219498813500941Cited by:5 (Source: Crossref)

    Let G be a finite group and πe(G) be the set of element orders of G. Assume that k ∈ πe(G) and mk(G) is the number of elements of order k in G. Set nse(G) ≔ {mk(G) | k ∈ πe(G)}, we call nse(G) the set of numbers of elements with same order. In this paper, we give a new characterization of simple linear group L2(2a) by its order |L2(2a)| and the set nse(L2(2a)), where either 2a - 1 or 2a + 1 is a prime.

    AMSC: 20D60, 20D06

    References