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A new characterization of L 2 (2 m ) by nse
2014
Mathematica Aeterna
unpublished
Preserved Fulltext
Let G be a group and ω(G) be the set of element orders of G. Let k ∈ ω(G) and s k be the number of elements of order k in G. Let nse(G) = {s k k ∈ ω(G)}. The groups L 2 (8) and L 2 (16) are unique determined by nse(G). In this paper, we prove that if G is a group such that nse(G)=nse(L 2 (2 m)), then G ∼ = L 2 (2 m). Mathematics Subject Classification: 20D05, 20D06, 20D20.
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