On profinite groups with positive rank gradient
Nikolay Nikolov
University of Oxford, UK
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Abstract
We prove that a profinite group with positive rank gradient does not satisfy a group law. In the case when is a pro- group, we show that contains a nonabelian dense free subgroup.
Cite this article
Nikolay Nikolov, On profinite groups with positive rank gradient. Rev. Mat. Iberoam. 39 (2023), no. 4, pp. 1323–1347
DOI 10.4171/RMI/1333