2006/03/31 by Ştefan Papadima, Stefan Papadima, Alexander I. Suciu · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GR #math.GT #msc:20F14 #msc:20F36 #msc:57M07
paper · pdf · doi:10.1112/jlms/jdm045
published as Journal of the London Mathematical Society 76 (2007), no. 2, 273-292 · 22 pages, accepted for publication in the Journal of the London Mathematical Society
arxiv created 2007/01/04 · openalex publication_date 2007/08/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.