3 citations · 13 across the 18 of their papers we have counts for
20 papers
Amenability problem for Thompson's group : state of the art
Victor Guba
This is a survey of our recent results on the amenability problem for Thompson's group . They mostly concern esimating the density of finite subgraphs in Cayley graphs of fo…
On zero-measured subsets of Thompson's group F
Victor Guba
A (discrete) group is called amenable whenever there exists a finitely additive right invariant probablity measure on it. For Thompson's group the problem whether it is amenabl…
Cayley graphs of R. Thompson's group F: new estimates for the density
Victor Guba
We improve some known estimates for the density of the Cayley graph of Thompson's group F in standard generators.
Systems of equations over the group ring of Thompson's group
Victor Guba
Let be a group ring of a group over a field . It is known that if is amenable then satisfies the Ore condition: for any there exist su…
Evacuation schemes on Cayley graphs and non-amenability of groups
Victor Guba
In this paper we introduce a concept of an evacuation scheme on the Cayley graph of an infinite finitely generated group. This is a collection of infinite simple paths bringing all…
On the Ore condition for the group ring of R.\,Thompson's group
Victor Guba
Let be a group ring of a group over a field . The Ore condition says that for any there exist such that , where or . It…