Algebraic invariants for Bestvina-Brady groups
Group Theory
2007-12-04 v2 Geometric Topology
Abstract
Bestvina-Brady groups arise as kernels of length homomorphisms from right-angled Artin groups G_\G to the integers. Under some connectivity assumptions on the flag complex \Delta_\G, we compute several algebraic invariants of such a group N_\G, directly from the underlying graph \G. As an application, we give examples of Bestvina-Brady groups which are not isomorphic to any Artin group or arrangement group.
Keywords
Cite
@article{arxiv.math/0603240,
title = {Algebraic invariants for Bestvina-Brady groups},
author = {Stefan Papadima and Alexander I. Suciu},
journal= {arXiv preprint arXiv:math/0603240},
year = {2007}
}
Comments
22 pages, accepted for publication in the Journal of the London Mathematical Society