On Normal Subgroups of Coxeter Groups Generated by Standard Parabolic Subgroups
Group Theory
2010-05-13 v1
Abstract
We discuss one construction of nonstandard subgroups in the category of Coxeter groups. Two formulae for the growth series of such a subgroups are given. As an application we construct a flag simple convex polytope, whose f-polynomial has non-real roots.
Keywords
Cite
@article{arxiv.math/0502563,
title = {On Normal Subgroups of Coxeter Groups Generated by Standard Parabolic Subgroups},
author = {Swiatoslaw R. Gal},
journal= {arXiv preprint arXiv:math/0502563},
year = {2010}
}
Comments
12 pages, figures