3 papers
math.CO2025
Combinatorics of affine cactus groups
Hugo Chemin
This article deals with the study of affine cactus groups from a combinatorial point of view. Those groups are extensions of cactus groups, which are related to braid and diagram g…
math.GR2024
Minimal presentation, finite quotients and lower central series of cactus groups
Hugo Chemin, Neha Nanda
This article deals with the study of cactus groups from a combinatorial point of view. These groups have been gaining prominence lately in various domains of mathematics, amongst w…
math.CO2022
Cactus groups, twin groups, and right-angled Artin groups
Paolo Bellingeri, Hugo Chemin, Victoria Lebed
Cactus groups Jn are currently attracting considerable interest from diverse mathematical communities. This work explores their relations to right-angled Coxeter groups, and in par…