Algebraic invariants for right-angled Artin groups
群论
2007-05-23 v2 交换代数
摘要
A finite simplicial graph \Gamma determines a right-angled Artin group G_\Gamma, with generators corresponding to the vertices of \Gamma, and with a relation vw=wv for each pair of adjacent vertices. We compute the lower central series quotients, the Chen quotients, and the (first) resonance variety of G_\Gamma, directly from the graph \Gamma.
引用
@article{arxiv.math/0412520,
title = {Algebraic invariants for right-angled Artin groups},
author = {Stefan Papadima and Alexander I. Suciu},
journal= {arXiv preprint arXiv:math/0412520},
year = {2007}
}
备注
20 pages; accepted for publication by Math. Annalen