Algebraic invariants for Bestvina–Brady groups

AbstractBestvina-Brady groups arise as kernels of length homomorphisms G Γ → ℤ from right-angled Artin groups to the integers. Under some connectivity assumptions on the flag complex Δ Γ , we compute several algebraic invariants of such a group N Γ , 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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