Resumen de On profinite groups with positive rank gradient
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.
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.
