Add to ORKGAnswering questions 19.23 and 19.24 from the Kourovka notebook we construct polycyclic groups with arbitrary torsion lengths and give examples of finitely presented groups whose quotients by their torsion subgroups are not finitely presented
summary:Suppose $A$ is an abelian torsion group with a subgroup $G$ such that $A/G$ is countable tha...
AbstractIn this note we construct some examples of torsion-free, residually finite groups with the p...
AbstractThis paper contains two results which bear upon the zero-divisor conjecture for group rings....
Abstract We show that a construction by Aanderaa and Cohen used in their proof of the...
Answering Questions 19.23 and 19.24 from the Kourovka notebook we construct polycyclic groups with a...
version 3: 40 pages, 12 figures, typos corrected, converted to LaTeX; v2: 38 pages, 12 figures, impr...
AbstractWe construct infinite finitely presented simple groups that have subgroups isomorphic to Gri...
A group is polycyclic if and only if it is soluble and all its subgroups are finitely generated. Pol...
One characterizes the structure of cyclic hypergroups, in particular of the complete ones. One exten...
AbstractLetGbe a polycyclic group. We prove that if the nilpotent length of each finite quotient ofG...
The stable torsion length in a group is the stable word length with respect to the set of all torsio...
AbstractWe formulate an algorithm for calculating a representation by unipotent matrices over the in...
Abstract. We will prove that two results on factoring finite abelian groups into a product of subset...
We argue that the geometric dimension of a discrete group G ought to be defined to be the minimal di...
A structure theorem is proved for a finitely generated group with a finitely generated virtually pol...
summary:Suppose $A$ is an abelian torsion group with a subgroup $G$ such that $A/G$ is countable tha...
AbstractIn this note we construct some examples of torsion-free, residually finite groups with the p...
AbstractThis paper contains two results which bear upon the zero-divisor conjecture for group rings....
Abstract We show that a construction by Aanderaa and Cohen used in their proof of the...
Answering Questions 19.23 and 19.24 from the Kourovka notebook we construct polycyclic groups with a...
version 3: 40 pages, 12 figures, typos corrected, converted to LaTeX; v2: 38 pages, 12 figures, impr...
AbstractWe construct infinite finitely presented simple groups that have subgroups isomorphic to Gri...
A group is polycyclic if and only if it is soluble and all its subgroups are finitely generated. Pol...
One characterizes the structure of cyclic hypergroups, in particular of the complete ones. One exten...
AbstractLetGbe a polycyclic group. We prove that if the nilpotent length of each finite quotient ofG...
The stable torsion length in a group is the stable word length with respect to the set of all torsio...
AbstractWe formulate an algorithm for calculating a representation by unipotent matrices over the in...
Abstract. We will prove that two results on factoring finite abelian groups into a product of subset...
We argue that the geometric dimension of a discrete group G ought to be defined to be the minimal di...
A structure theorem is proved for a finitely generated group with a finitely generated virtually pol...
summary:Suppose $A$ is an abelian torsion group with a subgroup $G$ such that $A/G$ is countable tha...
AbstractIn this note we construct some examples of torsion-free, residually finite groups with the p...
AbstractThis paper contains two results which bear upon the zero-divisor conjecture for group rings....