Panagiotis Tselekidis

activity

20192024

most citedAsymptotic Dimension of Graphs of Groups and One Relator Groups

3 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.GR2024

Coarsely separation of groups and spaces

Panagiotis Tselekidis

Inspired by a classical theorem of topological dimension theory, we prove that every geodesic metric space of asymptotic dimension $n$ containing a bi-infinite geodesic can be coar…

math.GR2022

Asymptotic dimension of Artin groups and a new upper bound for Coxeter groups

Panagiotis Tselekidis

If $A_{Γ}$ ( $W_{Γ}$ ) is the Artin (Coxeter) group with defining graph $Γ$ we denote by $S im (Γ)$ the number of vertices of the largest clique in $Γ$ . We show that $a s d im A_{Γ} \leq S im (Γ)$ ,…

math.GR2021

A new upper bound for the Asymptotic Dimension of RACGs

Panagiotis Tselekidis

Let $W_{Γ}$ be the Right-Angled Coxeter group with defining graph $Γ$ . We show that the asymptotic dimension of $W_{Γ}$ is smaller than or equal to $d i m_{C C} (Γ)$ , the clique-connected…

math.GR2019★ 3 cited

Asymptotic Dimension of Graphs of Groups and One Relator Groups

Panagiotis Tselekidis

We prove a new inequality for the asymptotic dimension of HNN-extensions. We deduce that the asymptotic dimension of every finitely generated one relator group is at most two, conf…