A Note on Parabolic Subgroups of a Coxeter Group
Group Theory
2007-05-23 v1
Abstract
The aim of this note is to prove that the parabolic closure of any subset of a Coxeter group is a parabolic subgroup. To obtain that, several technical lemmas on the root system of a parabolic subgroup are established.
Keywords
Cite
@article{arxiv.math/0512408,
title = {A Note on Parabolic Subgroups of a Coxeter Group},
author = {Dongwen Qi},
journal= {arXiv preprint arXiv:math/0512408},
year = {2007}
}
Comments
7 pages