Fundamental techniques in the study of parabolic subgroups of Artin groups
Group Theory
2025-09-11 v1
Abstract
This survey was written on the occasion of the course I gave at the Winterbraids XIV workshop in Bordeaux (2025). Its main purpose is to present the techniques that have proven most effective in the study of parabolic subgroups of Artin groups, with particular emphasis on the parabolic subgroups intersection problem. The survey highlights the core ideas and strategies behind them, aiming to give the reader a concise and accessible entry point to the essential methods.
Keywords
Cite
@article{arxiv.2509.08382,
title = {Fundamental techniques in the study of parabolic subgroups of Artin groups},
author = {María Cumplido},
journal= {arXiv preprint arXiv:2509.08382},
year = {2025}
}
Comments
40 pages, 14 figures. Comments are very welcome until publication of the notes in "Livres, Actes et S\'eminaires du Centre Mersenne"