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7.49 (1980)

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Let $G$ be a finitely generated group, and $N$ a minimal normal subgroup of $G$ which is an elementary abelian $p$-group. Is it true that either $N$ is finite or the growth function for the elements of $N$ with respect to a finite generating set of $G$ is bounded below by an exponential function?

Contributor: V. I. Trofimov

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