Thomas Haettel

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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

$ℓ^{p}$ 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 $ℓ^{1}$ , $ℓ^{2}$ , and $ℓ^{\infty}$ 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…

Locally elliptic actions, torsion groups, and nonpositively curved spaces

ℓp metrics on cell complexes

New Garside structures and applications to Artin groups

$ℓ^{p}$ metrics on cell complexes