Add to ORKGThis paper investigates the asymptotic behaviour of the minimal number of generators of finite index subgroups in residually finite groups. We analyze three natural classes of groups: amenable groups, groups possessing an infinite soluble normal subgroup and virtually free groups. As a tool for the amenable case we generalize Lackenby's trichotomy theorem on finitely presented groups
AbstractLet G be a finite group and X a conjugacy class of G. We denote rank(G:X) to be the minimum ...
Let G be a finite group and X a conjugacy class of G. We de-note rank(G: X) to be the minimum number...
We investigate the rank gradient and growth of torsion in homology in residually finite groups. As a...
We study the asymptotic growth of homology groups and the cellular volume of classifying spaces as o...
We study the growth of the rank of subgroups of finite index in residually finite groups, by relatin...
AbstractIn this article we investigate the L1-norm of certain functions on groups called divisibilit...
The generalization of one classical Seksenbaev theorem for polycyclic groups is obtained. Seksenbaev...
Abstract. We investigate the rank gradient and growth of torsion in homol-ogy in residually finite g...
We determine the structure of finitely generated residually finite groups in which the number of sub...
We investigate the rank gradient and growth of torsion in homology in residually finite groups. As a...
If G is a finite group and X a conjugacy class of G, then we define rank(G: X) to be the minimum num...
Deficiency gradient is a higher dimensional analog of rank gradient. In this paper, we give a combin...
In the first, mostly expository, part of this paper, a graded Lie algebra is associated to every gro...
AbstractIn this paper the following is proved: If X is an infinite class of finite simple groups of ...
A filling subgroup of a finitely generated free group F(X) is a subgroup which does not fix a point ...
AbstractLet G be a finite group and X a conjugacy class of G. We denote rank(G:X) to be the minimum ...
Let G be a finite group and X a conjugacy class of G. We de-note rank(G: X) to be the minimum number...
We investigate the rank gradient and growth of torsion in homology in residually finite groups. As a...
We study the asymptotic growth of homology groups and the cellular volume of classifying spaces as o...
We study the growth of the rank of subgroups of finite index in residually finite groups, by relatin...
AbstractIn this article we investigate the L1-norm of certain functions on groups called divisibilit...
The generalization of one classical Seksenbaev theorem for polycyclic groups is obtained. Seksenbaev...
Abstract. We investigate the rank gradient and growth of torsion in homol-ogy in residually finite g...
We determine the structure of finitely generated residually finite groups in which the number of sub...
We investigate the rank gradient and growth of torsion in homology in residually finite groups. As a...
If G is a finite group and X a conjugacy class of G, then we define rank(G: X) to be the minimum num...
Deficiency gradient is a higher dimensional analog of rank gradient. In this paper, we give a combin...
In the first, mostly expository, part of this paper, a graded Lie algebra is associated to every gro...
AbstractIn this paper the following is proved: If X is an infinite class of finite simple groups of ...
A filling subgroup of a finitely generated free group F(X) is a subgroup which does not fix a point ...
AbstractLet G be a finite group and X a conjugacy class of G. We denote rank(G:X) to be the minimum ...
Let G be a finite group and X a conjugacy class of G. We de-note rank(G: X) to be the minimum number...
We investigate the rank gradient and growth of torsion in homology in residually finite groups. As a...