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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…
math.CO2021
The word problem for Hecke--Kiselman monoids of type and
Victoria Lebed
We exhibit explicit and easily realisable bijections between Hecke--Kiselman monoids of type /; certain braid diagrams on the plane/cylinder; and couples of i…