O. Bogopolski

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20042025

most citedFree-by-cyclic groups have solvable conjugacy problem

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

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Showing 2018 · math.GRShow all

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math.GR2018

Equations in acylindrically hyperbolic groups and verbal closedness

Oleg Bogopolski

We describe solutions of the equation $x^{n} y^{m} = a^{n} b^{m}$ in acylindrically hyperbolic groups (AH-groups), where $a, b$ are non-commensurable special loxodromic elements and $n, m$ are i…

math.GR2018

A periodicity theorem for acylindrically hyperbolic groups

Oleg Bogopolski

We generalize a well known periodicity lemma from the case of free groups to the case of acylindrically hyperbolic groups. This generalization will be used later to describe soluti…