Algebraic invariants for right-angled Artin groups |
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Authors: | Stefan Papadima Alexander I. Suciu |
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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 |
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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. |
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Keywords: | Primary: 20F36 13F55 20F14 55P62 57M07 |
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