Algebraic invariants for Bestvina-Brady groups
Abstract
Bestvina-Brady groups arise as kernels of length homomorphisms from right-angled Artin groups G to the integers. Under some connectivity assumptions on the flag complex , we compute several algebraic invariants of such a group N, directly from the underlying graph . 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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