Victor Guba

most citedTraveller Salesman Property and Richard Thompson's Group

F

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.GR2005

Strict dead end elements in free soluble groups

Victor Guba

Let $G$ be a group generated by a finite set $A$ . An element $g \in G$ is a strict dead end of depth $k$ (with respect to $A$ ) if $∣ g ∣ > ∣ g a_{1} ∣ > ∣ g a_{1} a_{2} ∣ > ... > ∣ g a_{1} a_{2} ... a_{k} ∣$ for any…

math.GR2005★ 1 cited

Traveller Salesman Property and Richard Thompson's Group $F$

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…

math.GR2004

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…

math.GR2004

Growth rates of amenable groups

Goulnara Arzhantseva, Victor Guba, Luc Guyot

Let $F_{m}$ be a free group with $m$ generators and let $R$ be its normal subgroup such that $F_{m} / R$ projects onto $\zz$. We give a lower bound for the growth rate of the group $F_m/…