On profinite groups with positive rank gradient

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

Detalhes bibliográficos
Autor principal: Nikolov, N
Formato: Journal article
Idioma:English
Publicado em: EMS Press 2022