Minimal generating set of cactus groups
Group Theory
2025-10-20 v1
Abstract
We prove that the lower central series of the cactus group associated with a non commutative Coxeter group never stabilizes. We also compute a minimal presentation in terms of generators for the cactus group associated with a finite Coxeter groups, except in type E.
Keywords
Cite
@article{arxiv.2510.15462,
title = {Minimal generating set of cactus groups},
author = {Eddy Godelle},
journal= {arXiv preprint arXiv:2510.15462},
year = {2025}
}