3 citations · 9 across the 8 of their papers we have counts for
9 papers
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…
Traveller Salesman Property and Richard Thompson's Group
Victor Guba
Recently Akhmedov introduced a property of finitely generated groups called the Traveller Salesman Property (TSP). It was shown by Thurston that TSP implies non-amenability. Akhmed…
Metrics on diagram groups and uniform embeddings in a Hilbert space
Goulnara Arzhantseva, Victor Guba, Mark Sapir
We give first examples of finitely generated groups having an intermediate, with values in (0,1), Hilbert space compression (which is a numerical parameter measuring the distortion…
Growth rates of amenable groups
Goulnara Arzhantseva, Victor Guba, Luc Guyot
Let be a free group with generators and let be its normal subgroup such that projects onto $\zz$. We give a lower bound for the growth rate of the group $F_m/…
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…
Diagram groups and directed 2-complexes: homotopy and homology
V. S. Guba, M. V. Sapir
We show that diagram groups can be viewed as fundamental groups of spaces of positive paths on directed 2-complexes (these spaces of paths turn out to be classifying spaces). Thus…