A class of generalized supersoluble groups.
A geometric invariant for modules over an Abelian group.
A nilpotency condition for finitely generated soluble groups
We prove that if is an integer and is a finitely generated soluble group such that every infinite set of elements of contains a pair which generates a nilpotent subgroup of class at most , then is an extension of a finite group by a torsion-free -Engel group. As a corollary, there exists an integer , depending only on and the derived length of , such that is finite. For , such depends only on .
A note on -endomorphisms of two-generated metabelian groups
A note on locally graded groups
A note on supersoluble maximal subgroup and theta-pairs.
A θ-pair for a maximal subgroup M of a group G is a pair (A, B) of subgroups such that B is a maximal G-invariant subgroup of A with B but not A contained in M. θ-pairs are considered here in some groups having supersoluble maximal subgroups.
A splitting theorem for linear polycyclic groups.
Abelian subgroups of polycyclic groups.
Almost fixed-point-free automorphisms of prime order
Let ϕ be an automorphism of prime order p of the group G with C G(ϕ) finite of order n. We prove the following. If G is soluble of finite rank, then G has a nilpotent characteristic subgroup of finite index and class bounded in terms of p only. If G is a group with finite Hirsch number h, then G has a soluble characteristic subgroup of finite index in G with derived length bounded in terms of p and n only and a soluble characteristic subgroup of finite index in G whose index and derived length are...
Arithmetic of stabilizers of ideals in group rings.
Asymptotic dimension of discrete groups
We extend Gromov's notion of asymptotic dimension of finitely generated groups to all discrete groups. In particular, we extend the Hurewicz type theorem proven in [B-D2] to general groups. Then we use this extension to prove a formula for the asymptotic dimension of finitely generated solvable groups in terms of their Hirsch length.
Auflösbare Gruppen mit endlichem Exponenten, deren Untergruppen alle subnormal sind. - II
Auflösbare Gruppen mit endlichem Exponenten, deren Untergruppen alle subnormal sind. - I
Automorphism groups of free metabelian nilpotent groups.
Centre-by-metabelian groups with a condition on infinite subsets.
Characterisation of finitely generated soluble finite-by-nilpotent groups
Characterization of abelian-by-cyclic 3-rewritable groups
Classification of Soluble Groups of Cohomologie Dimension Two.
Computational aspects of group extensions and their applications in topology.
Constructable Solvable Groups.