A new characterization of L2(2m)

A new characterization of L2(2m)

Let G be a group and ?(G) be the set of primes p such that G containsan element of order p. Let nse(G) be the set of numbers of elementsof G of the same order. In this paper, we prove that the simple groupL(2m) is uniquely determined by nse(L2(2m)), where |?(L(2m))| = 4.

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