Symmetric Presentations of Coxeter Groups
Group Theory
2011-05-02 v1
Abstract
We apply the techniques of symmetric generation to establish the standard presentations of the finite simply laced irreducible finite Coxeter groups, that is the Coxeter groups of types An, Dn and En, and show that these are naturally arrived at purely through consideration of certain natural actions of symmetric groups. We go on to use these techniques to provide explicit representations of these groups.
Cite
@article{arxiv.1104.5595,
title = {Symmetric Presentations of Coxeter Groups},
author = {Ben Fairbairn},
journal= {arXiv preprint arXiv:1104.5595},
year = {2011}
}
Comments
This is the predecessor of arXiv:0901.2660v1. To appear in the Proceedings of the Edinburgh Mathematical Society