Algebraic invariants for right-angled Artin groups

Details Algebraic invariants for right-angled Artin groups Algebraic invariants for right-angled Artin groups

2004-12-29

arxiv.org/abs/math/0412520v2

Mathematische Annalen 334 (2006), no. 3, 533-555

Mathematics

Group Theory

20 pages; accepted for publication by Math. Annalen

Scientific paper

10.1007/s00208-005-0704-9

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.

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