On profinite groups with positive rank gradient
Group Theory
2022-01-13 v3
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.
Keywords
Cite
@article{arxiv.2104.09094,
title = {On profinite groups with positive rank gradient},
author = {Nikolay Nikolov},
journal= {arXiv preprint arXiv:2104.09094},
year = {2022}
}
Comments
To appear in Revista Matem\'atica Iberoamericana