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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.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…