Maximal subgroups of direct products 
Jacques Th\'evenaz 


Abstract:
We determine all maximal subgroups of the direct product $\sc G^n$ of $\sc n$ 
copies of a group $\sc G$. If $\sc G$ is finite, we show that the number of 
maximal subgroups of $\sc G^n$ is a quadratic function of $\sc n$ if $\sc G$ 
is perfect, but grows exponentially otherwise. We deduce a theorem of Wiegold 
about the growth behaviour of the number of generators of $\sc G^n$.