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arXiv:math/0412520 [math.GR]AbstractReferencesReviewsResources

Algebraic invariants for right-angled Artin groups

Stefan Papadima, Alexander I. Suciu

Published 2004-12-29, updated 2005-08-26Version 2

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.

Comments: 20 pages; accepted for publication by Math. Annalen
Journal: Mathematische Annalen 334 (2006), no. 3, 533-555
Categories: math.GR, math.AC
Subjects: 20F36, 13F55, 20F14, 55P62, 57M07
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