Agnieszka Bier

activity

20182022

most citedExponential equations in acylindrically hyperbolic groups

4 citations · 5 across the 4 of their papers we have counts for

collaborators

4 papers

math.GR2022

Structure of solutions of exponential equations in acylindrically hyperbolic groups

Agnieszka Bier, Oleg Bogopolski

Let $G$ be a group acting acylindrically on a hyperbolic space and let $E$ be an exponential equation over $G$ . We show that $E$ is equivalent to a finite disjunction of finite sys…

math.GR2021★ 4 cited

Exponential equations in acylindrically hyperbolic groups

Agnieszka Bier, Oleg Bogopolski

Let $G$ be an acylindrically hyperbolic group and $E$ an exponential equation over $G$ . We show that if $E$ is solvable in $G$ , then there exists a solution whose components, corre…

math.GR2019★ 1 cited

On groups with weak Sierpiński subsets

Agnieszka Bier, Yves de Cornulier, Piotr Słanina

In a group $G$ , a weak Sierpiński subset is a subset $E$ such that for some $g, h \in G$ and $a \neq = b \in E$ , we have $g E = E ∖ {a}$ and $h E = E ∖ {b}$ . In thi…

math.GR2018

On weak Sierpiński sets in groups and free subgroups

Agnieszka Bier, Piotr Słanina

In this paper we discuss the problem of existence of so called weak Sierpiński sets in groups. It is known that group $G$ has a Sierpiński subset if and only if it contains a free…