E. Ventura

activity

20042009

most citedFree-by-cyclic groups have solvable conjugacy problem

32 citations · 39 across the 5 of their papers we have counts for

collaborators

5 papers

math.GR2009

On endomorphisms of torsion-free hyperbolic groups

O. Bogopolski, E. Ventura

Let $H$ be a torsion-free $δ$ -hyperbolic group with respect to a finite generating set $S$ . Let $a_{1}, ..., a_{n}$ and $a_{1 *}, ..., a_{n *}$ be elements of $H$ such that $a_{i *}$ is con…

math.GR2008

A recursive presentation for Mihailova's subgroup

O. Bogopolski, E. Ventura

We give an explicit recursive presentation for Mihailova's subgroup $M (H)$ of $F_{n} \times F_{n}$ corresponding to a finite, concise and Peiffer aspherical presentation $H=< x_1,...,…

math.GR2007★ 3 cited

Orbit decidability and the conjugacy problem for some extensions of groups

O. Bogopolski, A. Martino, E. Ventura

Given a short exact sequence of groups with certain conditions, $1 \to F \to G \to H \to 1$ , we prove that $G$ has solvable conjugacy problem if and only if the corresponding action su…

math.GR2006★ 4 cited

The mean Dehn function of abelian groups

O. Bogopolski, E. Ventura

While Dehn functions, D(n), of finitely presented groups are very well studied in the literature, mean Dehn functions are much less considered. M. Gromov introduced the notion of m…

math.GR2004★ 32 cited

Free-by-cyclic groups have solvable conjugacy problem

O. Bogopolski, A. Martino, O. Maslakova +1

We show that the conjugacy problem is solvable in [finitely generated free]-by-cyclic groups, by using a result of O. Maslakova that one can algorithmically find generating sets fo…