Olga Varghese

activity

20182022

most citedOn property (T) for automorphism groups of graph products

1 citations · 1 across the 3 of their papers we have counts for

collaborators

13 papers

math.GR2022

On parabolic subgroups of Artin groups

Philip Möller, Luis Paris, Olga Varghese

Given an Artin group $A_{Γ}$ , a common strategy in the study of $A_{Γ}$ is the reduction to parabolic subgroups whose defining graphs have small diameter, i.e. showing that $A_{Γ}$ has a…

math.GR2020

Abstract group actions of locally compact groups on CAT(0) spaces

Philip Möller, Olga Varghese

We study abstract group actions of locally compact Hausdorff groups on CAT(0) spaces. Under mild assumptions on the action we show that it is continuous or has a global fixed point…

math.GR2019

A Nunke type classification in the locally compact setting

Samuel M. Corson, Olga Varghese

In this short note we prove that a group G is lcH-slender -- that is, every abstract group homomorphism from a locally compact Hausdorff topological group to G has an open kernel -…

math.GR2019

On number of ends of graph products of groups

Olga Varghese

Given a finite simplicial graph $Γ = (V, E)$ with a vertex-labelling $φ : V \to {non-trivial finitely generated groups}$ , the graph product $G_{Γ}$ is the free p…

math.GR2019

Conjugating automorphisms of graph products: Kazhdan's property (T) and SQ-universality

Anthony Genevois, Olga Varghese

An automorphism of a graph product of groups is conjugating if it sends each factor to a conjugate of a factor (possibly different). In this article, we determine precisely when th…

math.GR2019

On hyperbolicity and virtual freeness of automorphism groups

Olga Varghese

We show that word hyperbolicity of automorphism groups of graph products $G_{Γ}$ and of Coxeter groups $W_{Γ}$ depends strongly on the shape of the defining graph $Γ$ . We also characte…