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Journal of the London Mathematical Society Advance Access published online on August 4, 2007
Journal of the London Mathematical Society, doi:10.1112/jlms/jdm045
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© 2007 London Mathematical Society

Algebraic invariants for Bestvina–Brady groups

Stefan Papadima and Alexander I. Suciu

Inst. of Math. Simion Stoilow
P.O. Box 1-764
RO-014700 Bucharest
Romania
stefan.papadima{at}imar.ro
Department of Mathematics
Northeastern University
Boston
MA 02115
USA
a.suciu{at}neu.edu

Bestvina–Brady groups arise as kernels of length homomorphisms G{Gamma} -> Z from right-angled Artin groups to the integers. Under some connectivity assumptions on the flag complex {Delta}{Gamma}, we compute several algebraic invariants of such a group N{Gamma}, directly from the underlying graph {Gamma}. As an application, we give examples of finitely presented Bestvina–Brady groups which are not isomorphic to any Artin group or arrangement group.

2000 Mathematics Subject Classification 20F36 (primary), 20F14, 57M07 (secondary).

The first author was partially supported by Program CEx 05-D11-11/2005 of the Romanian Ministry of Education and Research. The second author was partially supported by NSF grant DMS-0311142.

Received March 10, 2006;
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