Gr\"obner-Shirshov bases for Coxeter groups I
Group Theory
2009-10-02 v1
Abstract
A conjecture of Gr\"obner-Shirshov basis of any Coxeter group has proposed by L.A. Bokut and L.-S. Shiao \cite{bs01}. In this paper, we give an example to show that the conjecture is not true in general. We list all possible nontrivial inclusion compositions when we deal with the general cases of the Coxeter groups. We give a Gr\"obner-Shirshov basis of a Coxeter group which is without nontrivial inclusion compositions mentioned the above.
Cite
@article{arxiv.0910.0096,
title = {Gr\"obner-Shirshov bases for Coxeter groups I},
author = {Yuqun Chen and Cihua Liu},
journal= {arXiv preprint arXiv:0910.0096},
year = {2009}
}
Comments
21 papes