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math.GR2023
Group actions on injective spaces and Helly graphs
Thomas Haettel
These are lecture notes for a minicourse on group actions on injective spaces and Helly graphs, given at the CRM Montreal in June 2023. We review the basics of injective metric spa…
math.GR2023
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…
math.GR2023
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…