Algebraic invariants for Bestvina-Brady groups

Mathematics – Group Theory

Scientific paper

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22 pages, accepted for publication in the Journal of the London Mathematical Society

Scientific paper

10.1112/jlms/jdm045

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.

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