Thomas Witdouck

collaborators

4 papers

math.GR2024

$R_{\infty}$ -property for groups commensurable to nilpotent quotients of RAAGs

Maarten Lathouwers, Thomas Witdouck

Let $G$ be a group and $φ$ an automorphism of $G$ . Two elements $x, y \in G$ are said to be $φ$ -conjugate if there exists a third element $z \in G$ such that $z x φ (z)^{- 1} = y$ . Be…

math.DS2023

A characterization of Anosov rational forms in nilpotent Lie algebras associated to graphs

Jonas Deré, Thomas Witdouck

Anosov diffeomorphisms are an important class of dynamical systems with many peculiar properties. Ever since they were introduced in the sixties, it has been an open question which…

math.GR2023

The $R_{\infty}$ -property for right-angled Artin groups and their nilpotent quotients

Thomas Witdouck

It is proven that every non-abelian right-angled Artin group has the $R_{\infty}$ -property and bounds are given on the $R_{\infty}$ -nilpotency index. In case the graph is transposition…

math.DS2021

On closed manifolds admitting an Anosov diffeomorphism but no expanding map

Jonas Deré, Thomas Witdouck

A few years ago, the first example of a closed manifold admitting an Anosov diffeomorphism but no expanding map was given. Unfortunately, this example is not explicit and is high-d…

R∞​-property for groups commensurable to nilpotent quotients of RAAGs

A characterization of Anosov rational forms in nilpotent Lie algebras associated to graphs

The R∞​-property for right-angled Artin groups and their nilpotent quotients

On closed manifolds admitting an Anosov diffeomorphism but no expanding map

$R_{\infty}$ -property for groups commensurable to nilpotent quotients of RAAGs

The $R_{\infty}$ -property for right-angled Artin groups and their nilpotent quotients