3 citations · 8 across the 6 of their papers we have counts for
8 papers
Descriptive complexity of subsets of the space of finitely generated groups
Mustafa Gökhan Benli, Burak Kaya
In this paper, we determine the descriptive complexity of subsets of the Polish space of marked groups defined by various group theoretic properties. In particular, using Grigorchu…
Uncountably many -generated just-infinite branch pro- groups
Mustafa Gökhan Benli, Rostislav Grigorchuk
The aim of this note is to prove that there are non-isomoprhic 2-generated just-infinite branch pro- groups.
Universal groups of intermediate growth and their invariant random subgroups
Mustafa Gokhan Benli, Rostislav Grigorchuk, Tatiana Nagnibeda
We exhibit examples of groups of intermediate growth with ergodic, continuous, invariant random subgroups. The examples are the universal groups associated with a fa…
On the condensation property of the Lamplighter groups and groups of Intermediate growth
Mustafa Gokhan Benli, Rostislav Grigorchuk
The aim of this short note is to revisit some old results about groups of intermediate growth and groups of the lamplighter type and to show that the Lamplighter group $L=\mathbb{Z…
On growth of random groups of intermediate growth
Mustafa G. Benli, Rostislav Grigorchuk, Yaroslav Vorobets
We study the growth of typical groups from the family of -groups of intermediate growth constructed by the second author. We find that, in the sense of category, a generic group…
Amenable groups without finitely presented amenable covers
Mustafa Gokhan Benli, Rostislav Grigorchuk, Pierre De La Harpe
The goal of this article is to study results and examples concerning finitely presented covers of finitely generated amenable groups. We collect examples of groups with the fol…
Indicable Groups and Endomorphic Presentations
Mustafa Gokhan Benli
In this note we look at presentations of subgroups of finitely presented groups with infinite cyclic quotients. We prove that if is a finitely generated normal subgroup of a fi…
Profinite completion of Grigorchuk's group is not finitely presented
Mustafa Gokhan Benli
In this paper we prove that the profinite completion of the Grigorchuk group is not finitely presented as a profinite group. We obtain this result…