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- W2915361008 abstract "Let G be a group and ω(G) be the set of element orders of G. Let k ∈ ω(G) and sk be the number of elements of order k in G. Let nse(G )= {sk k ∈ ω(G)}. The groups A5, A6, A7 and A8 are unique determined by nse(G). But if π(An) > 4, then can the alternating An be characterized by nse only? In this paper, we give an example which is a simple K5-group, can be characterized by nse. Namely, we prove that if G is a group, then G ∼ A11 if and only if nse(G)=nse(A11). Mathematics Subject Classification: 20D05, 20D06, 20D20" @default.
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- W2915361008 date "2014-01-01" @default.
- W2915361008 modified "2023-09-23" @default.
- W2915361008 title "A New Characterization of A 11" @default.
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