Cyclically reduced elements in Coxeter groups
Group Theory
2021-12-09 v4
Abstract
Let be a Coxeter group. We provide a precise description of the conjugacy classes in , in the spirit of Matsumoto's theorem. This extends to all Coxeter groups an important result on finite Coxeter groups by M. Geck and G. Pfeiffer from 1993. In particular, we describe the cyclically reduced elements of , thereby proving a conjecture of A. Cohen from 1994.
Cite
@article{arxiv.1812.02543,
title = {Cyclically reduced elements in Coxeter groups},
author = {Timothée Marquis},
journal= {arXiv preprint arXiv:1812.02543},
year = {2021}
}
Comments
16 pages, 2 figures; to appear in Annales scientifiques de l'Ecole normale sup\'erieure