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Almost simple groups with more than one half of the number of cyclic subgroups

Almost simple groups with more than one half of the number of cyclic subgroups

Let G be a finite group, c(G) the number of cyclic subgroups of G, and α(G) the ratio of the number of cyclic subgroups of G to the order of the group, i.e.α (G) = c(G)/|G|.A group G called an almost simple group if there exists a finite non-abelian simple …