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arXiv · 2104.09094

On profinite groups with positive rank gradient

Nikolay Nikolov
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Abstract

We prove that a profinite group $G$ with positive rank gradient does not satisfy a group law. In the case when $G$ is a pro-$p$ group we show that $G$ contains a nonabelian dense free subgroup.

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Nikolay Nikolov. 2021-04-19. On profinite groups with positive rank gradient. https://arxiv.org/abs/2104.09094

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