ABSTRACT

Let G be a finite non-abelian simple group and d(G) the minimum number of generators of G. Then, h(2,G) is the maximum number n such that d(Gn) = 2, where Gn is the external direct products of n copies of ...

Let $G$ be a finitely generated group and $G^n$ be the direct

product of $n$ copies of $G$. The growth sequence of $G$ is the

sequence $\\\\\\\\\\\\\\\\{d(G^n)\\\\\\\\\\\\\\\\}_{n \\\\\\\\\\\\\\\\geq1}$, where $d(G^n)$ is the minimum...