Some group theoretic problems inspired by ring theoretic analogies.
A subgroup of a group is said to be normal-by-finite if the core of in has finite index in . It has been proved by Buckley, Lennox, Neumann, Smith and Wiegold that if every subgroup of a group G is normal-by-finite, then is abelian-by-finite, provided that all its periodic homomorphic images are locally finite. The aim of this article is to describe the structure of groups G for which the partially ordered set consisting of all normal-by-finite subgroups satisfies certain relevant...
Si presentano alcuni risultati che caratterizzano i gruppi algebrici unipotenti aventi come reticolo dei sottogruppi connessi una catena e si discutono alcuni risultati conseguenti.
A characterization of strict S-partitions in locally finite groups is given.