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Algebraic invariants for right-angled Artin groups

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Abstract

A finite simplicial graph Γ determines a right-angled Artin group G Γ, 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 G Γ, directly from the graph Γ.

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Authors and Affiliations

  1. Institute of Mathematics of the Academy, P.O. Box 1-764, Bucharest, RO, 014700, Romania

    Stefan Papadima

  2. Department of Mathematics, Northeastern University, Boston, MA, 02115, USA

    Alexander I. Suciu

Authors
  1. Stefan Papadima
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  2. Alexander I. Suciu
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Correspondence to Alexander I. Suciu.

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Partially supported by NSF grant DMS-0311142.

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Papadima, S., Suciu, A. Algebraic invariants for right-angled Artin groups. Math. Ann. 334, 533–555 (2006). https://doi.org/10.1007/s00208-005-0704-9

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  • DOI: https://doi.org/10.1007/s00208-005-0704-9

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