Philip Möller

activity

20212023

collaborators

6 papers

math.GR2023

Higman-Thompson groups and profinite properties of right-angled Coxeter groups

Samuel M. Corson, Sam Hughes, Philip Möller +1

We prove that every right-angled Coxeter group (RACG) is profinitely rigid amongst all Coxeter groups. On the other hand we exhibit RACGs which have infinite profinite genus amongs…

math.GR2023

On quotients of Coxeter groups

Philip Möller, Olga Varghese

A group $G$ is said to be just infinite if $G$ itself is infinite but all proper quotients of $G$ are finite. We show that a Coxeter group $W_{Γ}$ is just infinite if and only if $Γ$ …

math.GR2022

On normal subgroups in automorphism groups

Philip Möller, Olga Varghese

We describe the structure of virtually solvable normal subgroups in the automorphism group of a right-angled Artin group $Aut (A_{Γ})$ . In particular, we prove that a finite nor…

math.GR2022

A note on almost negative matrices and Gromov-hyperbolic Coxeter groups

Philip Möller

In this note we revisit Moussong's Characterization of Gromov-hyperbolic Coxeter groups. A Coxeter group is Gromov-hyperbolic if and only if it does not contain a subgroup isomorph…

math.GR2022

A note on semicompleteness of graph products of abelian groups

Philip Möller, Olga Varghese

In this short note we prove that a graph product $G_{Γ}$ of finitely generated abelian groups is semicomplete -- that is the kernel of the natural homomorphism ${\rm Aut}(G_Γ)\to{\rm…

math.GR2021

Automatic continuity for groups whose torsion subgroups are small

Daniel Keppeler, Philip Möller, Olga Varghese

We prove that a group homomorphism $φ : L \to G$ from a locally compact Hausdorff group $L$ into a discrete group $G$ either is continuous, or there exists a normal open subgrou…