Yuri Santos Rego

activity

20182026

collaborators

6 papers

math.GR2026

Generalisable presentations and compactness properties of locally compact right-angled Artin groups

Ilaria Castellano, Bianca Marchionna, Brita Nucinkis +1

We propose the systematic study of presentations that can be generalised over a continuous open group monomorphism. Presentations with this property can turn well-known presentatio…

math.GR2026

Cohomological and quasi-isometric diversity of groups with property $R_{\infty}$

Karel Dekimpe, Paula M. Lins de Araujo, Yuri Santos Rego

How rich is the collection of groups with a given prominent property? In this work we approach this question for property~ $R_{\infty}$ , which says that every automorphism $φ$ of a gi…

math.GR2025

Conjugator length of locally compact groups of Euclidean isometries

Yuri Santos Rego, Petra Schwer

We consider locally compact subgroups $H$ of the full isometry group $\Isom(\E^n)$ of Euclidean $n$ -space which respect the splitting into an orthogonal and a translation subgroup.…

math.GR2023

The Sigma invariants for the Golden Mean Thompson group

Lewis Molyneux, Brita Nucinkis, Yuri Santos Rego

We use a method of Bieri, Geoghegan and Kochloukova to calculate the BNSR-invariants for the irrational slope Thompson's group $F_{τ}$ . To do so we establish conditions under which t…

math.GR2023

Reidemeister numbers for arithmetic Borel subgroups in type A

Paula Macedo Lins de Araujo, Yuri Santos Rego

The Reidemeister number $R (φ)$ of a group automorphism $φ \in Aut (G)$ encodes the number of orbits of the $φ$ -twisted conjugation action of $G$ on itself, and the Reidemeis…

math.GR2018

Presentations of parabolics in some elementary Chevalley-Demazure groups