Reciprocity and rationality for the greedy normal form of a Coxeter group
Group Theory
2008-09-15 v1 Combinatorics
Geometric Topology
Abstract
We show that the characteristic series for the greedy normal form of a Coxeter group is always a rational series, and prove a reciprocity formula for this series when the group is right-angled and the nerve is Eulerian. As corollaries we obtain many of the known rationality and reciprocity results for the growth series of Coxeter groups as well as some new ones.
Keywords
Cite
@article{arxiv.0809.2251,
title = {Reciprocity and rationality for the greedy normal form of a Coxeter group},
author = {Richard Scott},
journal= {arXiv preprint arXiv:0809.2251},
year = {2008}
}