O. Bogopolski

activity

20042025

most citedFree-by-cyclic groups have solvable conjugacy problem

32 citations · 87 across the 22 of their papers we have counts for

collaborators

Showing 2009 · math.GRShow all

3 papers · 2 filters

math.GR2009★ 11 cited

A Magnus theorem for some one-relator groups

Oleg Bogopolski, Konstantin Sviridov

We will say that a group G possesses the Magnus property if for any two elements u,v in G with the same normal closure, u is conjugate to v or v^{-1}. We prove that some one-relato…

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.GR2009★ 11 cited

On abstract commensurators of groups

Laurent Bartholdi, Oleg Bogopolski

We prove that the abstract commensurator of a nonabelian free group, an infinite surface group, or more generally of a group that splits appropriately over a cyclic subgroup, is no…