V. Guba

activity

20002023

most citedDiagram groups are totally orderable

3 citations · 13 across the 18 of their papers we have counts for

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Showing 2005Show all

3 papers · 1 filter

math.GR2005

Growth of positive words and lower bounds of the growth rate for Thompson's groups $F (p)$

Jose Burillo, Victor Guba

Let $F (p)$ , $p \geq 2$ be the family of generalized Thompson's groups. Here F(2) is the famous Richard Thompson's group usually denoted by $F$ . We find the growth rate of the monoid o…

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…

Growth of positive words and lower bounds of the growth rate for Thompson's groups F(p)

Strict dead end elements in free soluble groups

Traveller Salesman Property and Richard Thompson's Group F

Growth of positive words and lower bounds of the growth rate for Thompson's groups $F (p)$

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