25 citations
- Institute of Informatics ProblemsRU7 papers
- Chalmers University of TechnologySE6 papers
- Institute of Socio-Economic Development of TerritoriesRU4 papers
- Lomonosov Moscow State UniversityRU4 papers
- Russian Academy of SciencesRU4 papers
- University of GothenburgSE4 papers
- St. John's UniversityUS3 papers
- Federal Research Center “Computer Science and Control” of the Russian Academy of SciencesRU2 papers
- Queen's University BelfastGB2 papers
- Vanderbilt UniversityUS2 papers
- Azerbaijan National Academy of SciencesAZ1 paper
- Evangelische Hochschule BerlinDE1 paper
9 papers · 1 filter
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 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…
On the density of Cayley graphs of R.Thompson's group in symmetric generators
Victor Guba
By the density of a finite graph we mean its average vertex degree. For an -generated group, the density of its Cayley graph in a given set of generators, is the supremum of den…
Growth of positive words and lower bounds of the growth rate for Thompson's groups
Jose Burillo, Victor Guba
Let , be the family of generalized Thompson's groups. Here F(2) is the famous Richard Thompson's group usually denoted by . We find the growth rate of the monoid o…
Strict dead end elements in free soluble groups
Victor Guba
Let be a group generated by a finite set . An element is a strict dead end of depth (with respect to ) if for any…
Diagram groups are totally orderable
Victor Guba, Mark Sapir
In this paper, we introduce the concept of the independence graph of a directed 2-complex. We show that the class of diagram groups is closed under graph products over independence…