Locally almost solvable groups of finite non-Abelian rank (Q755892)

By definition, a group G is of finite nonabelian 0-rank r if every nonabelian nonperiodic finitely generated subgroup of G may be generated by r elements, and this number r, for the given group G, cannot be made smaller. If no such natural number r exists then G is said to be of infinite nonabelian 0-rank \(\infty\). The main result of this article is that a nonperiodic locally almost soluble group of finite nonabelian 0- rank is necessarily of finite rank.