A Finitely Presented Solvable Group that is not Residually Finite.
A Note on Baer Groups of Finite Rank.
A note on locally graded groups
A note on torsion-by-nilpotent groups
A property which ensures that a finitely generated hyper-(Abelian-by-finite) group is finite-by-nilpotent
Let be the class of groups satisfying the minimal condition on normal subgroups and let be the class of groups of finite lower central depth, that is groups such that for some positive integer . The main result states that if is a finitely generated hyper-(Abelian-by-finite) group such that for every , there exists a normal subgroup of finite index in satisfying for every , then is finite-by-nilpotent. As a consequence of this result, we prove that a finitely generated hyper-(Abelian-by-finite)...
A short proof of a theorem of Brodskii.
A short proof, using graphs and groupoids, is given of Brodskii’s theorem that torsion-free one-relator groups are locally indicable.
Adjoint groups and the Mal'cev correspondence (a tale of four functors)
Automorphisms of Locally Nilpotent FC-Groups.