Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups
Group Theory
2017-03-21 v2 Algebraic Topology
Abstract
We construct and study polyhedral product models for classifying spaces of right-angled Artin and Coxeter groups, general graph product groups and their commutator subgroups. By way of application, we give a criterion of freeness for the commutator subgroup of a graph product group, and provide an explicit minimal set of generators for the commutator subgroup of a right-angled Coxeter group.
Keywords
Cite
@article{arxiv.1603.06902,
title = {Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups},
author = {Taras Panov and Yakov Veryovkin},
journal= {arXiv preprint arXiv:1603.06902},
year = {2017}
}
Comments
16 pages. Minor changes, additions and corrections in this version