Publication

Maximal subgroups of direct products

Jacques Thévenaz
1997
Journal paper

Abstract

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

Official source

https://infoscience.epfl.ch/record/130451?ln=en

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Maximal subgroups of direct products

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