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Algebraic invariants for Bestvina-Brady groups

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: S. Papadima, A.I. Suciu

Editorial: Journal of the London Mathematical Society, 76 (2), p.273-292, 2007.

Rezumat:

Bestvina-Brady groups arise as kernels of length homomorphisms from right-angled Artin groups G_Gamma 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 Bestvina-Brady groups which are not isomorphic to any Artin group or arrangement group.

Cuvinte cheie: Graph, flag complex, right-angled Artin group, Bestvina-Brady group, lower central series, holonomy Lie algebra, Chen Lie algebra, resonance variety, Alexander invariant

URL: http://jlms.oxfordjournals.org/cgi/content/abstract/jdm045