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