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Algebraic invariants for Bestvina-Brady groups

Stefan Papadima, Alexander I. Suciu

Published 2006-03-10, updated 2007-01-04Version 2

Bestvina-Brady groups arise as kernels of length homomorphisms from right-angled Artin groups G_\G to the integers. Under some connectivity assumptions on the flag complex \Delta_\G, we compute several algebraic invariants of such a group N_\G, directly from the underlying graph \G. As an application, we give examples of Bestvina-Brady groups which are not isomorphic to any Artin group or arrangement group.

Comments: 22 pages, accepted for publication in the Journal of the London Mathematical Society
Journal: Journal of the London Mathematical Society 76 (2007), no. 2, 273-292
Categories: math.GR, math.GT
Subjects: 20F36, 20F14, 57M07
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