32 citations · 87 across the 22 of their papers we have counts for
24 papers
Finite non-parabolic subgroups of relatively hyperbolic groups
Oleg Bogopolski
Let be a group that is relatively hyperbolic with respect to a collection of subgroups . Suppose that is given by a finite relative presentation $\mathcal…
Structure of solutions of exponential equations in acylindrically hyperbolic groups
Agnieszka Bier, Oleg Bogopolski
Let be a group acting acylindrically on a hyperbolic space and let be an exponential equation over . We show that is equivalent to a finite disjunction of finite sys…
Exponential equations in acylindrically hyperbolic groups
Agnieszka Bier, Oleg Bogopolski
Let be an acylindrically hyperbolic group and an exponential equation over . We show that if is solvable in , then there exists a solution whose components, corre…
Notes about decidability of exponential equations
Oleg Bogopolski, Aleksander Ivanov
We study relationship among versions of the Knapsack Problem where variables take values in Z and the number of them is fixed. In particular, we construct a finitely presented grou…
Abstract homomorphisms from some topological groups to acylindrically hyperbolic groups
Oleg Bogopolski, Samuel M. Corson
We describe homomorphisms for which the codomain is acylindrically hyperbolic and the domain is a topological group which is either completely metrizable or loca…
On finite systems of equations in acylindrically hyperbolic groups
Oleg Bogopolski
Let be an acylindrically hyperbolic group without nontrivial finite normal subgroups. We show that any finite system of equations with constants from is equivalent to a…