On profinite groups with positive rank gradient

2021/04/19 by Nikolov, Nikolay · 1 citation
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2104.09094

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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• On probabilistic identities and coset identities in pro-p groups

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