3 papers
math.GR2025
Locally elliptic actions, torsion groups, and nonpositively curved spaces
Thomas Haettel, Damian Osajda
Extending and unifying a number of well-known conjectures and open questions, we conjecture that locally elliptic (that is, every element has a bounded orbit) actions by automorphi…
math.GR2025
metrics on cell complexes
Thomas Haettel, Nima Hoda, Harry Petyt
Motivated by the observation that groups can be effectively studied using metric spaces modelled on , , and geometry, we consider cell complexes equip…
math.GR2024
New Garside structures and applications to Artin groups
Thomas Haettel, Jingyin Huang
Garside groups are combinatorial generalizations of braid groups which enjoy many nice algebraic, geometric, and algorithmic properties. In this article we propose a method for tur…