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Algebraic invariants for right-angled Artin groups
Authors:Stefan Papadima  Alexander I. Suciu
Affiliation:(1) Institute of Mathematics of the Academy, P.O. Box 1-764, Bucharest, RO, 014700, Romania;(2) Department of Mathematics, Northeastern University, Boston, MA 02115, USA
Abstract:A finite simplicial graph Γ determines a right-angled Artin group GΓ, with generators corresponding to the vertices of Γ, and with a relation υw=wυ for each pair of adjacent vertices. We compute the lower central series quotients, the Chen quotients, and the (first) resonance variety of GΓ, directly from the graph Γ. Partially supported by NSF grant DMS-0311142.
Keywords:Primary: 20F36  13F55  20F14  55P62  57M07
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