Finite Groups with Few Non-Abelian Subgroups

Author： Meng Wei  

Publisher： Taylor & Francis Ltd

E-ISSN： 1532-4125|43|3|909-915

ISSN： 0092-7872

Source： Communications in Algebra, Vol.43, Iss.3, 2015-03, pp. : 909-915

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Abstract

Let G be a finite group and τ(G) denote the number of conjugacy classes of all non-abelian subgroups of G. The symbol π(G) denotes the set of the prime divisors of |G|. In this paper, finite groups with τ(G) ≤ |π(G)| are classified completely. Furthermore, finite nonsolvable groups with τ(G) = |π(G)| +1 are determined.

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