Homological and Topological Properties of Locally Indicable Groups.
Homology and derived series of groups.
Homotopy Lie algebras; lower central series and the Koszul property.
Hyper–(Abelian–by–finite) groups with many subgroups of finite depth
The main result of this note is that a finitely generated hyper-(Abelian-by-finite) group is finite-by-nilpotent if and only if every infinite subset contains two distinct elements , such that