Retraction to a parabolic subgroup and applications
Group Theory
2024-09-12 v2
Abstract
We continue the study of the retraction from an Artin group to a standard parabolic subgroup introduced by Blufstein, Charney, Paris and the second author. Using right and left retractions we obtain new results on minimal parabolic subgroups, intersection of parabolic subgroups, double cosets with respect to parabolic subgroups and conjugacy classes in Artin groups.
Cite
@article{arxiv.2407.07459,
title = {Retraction to a parabolic subgroup and applications},
author = {François Digne and Eddy Godelle and Jean Michel},
journal= {arXiv preprint arXiv:2407.07459},
year = {2024}
}