Algebraic invariants for Bestvina-Brady groups

Abstract

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 Δ_\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.

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

References in corpus (3)

• Algebraic invariants for right-angled Artin groups
• Quasi-Kähler Bestvina-Brady groups
• The cohomology of Bestvina-Brady groups

Cited by in corpus (5)

• Algebraic invariants for right-angled Artin groups
• Toric complexes and Artin kernels
• Geometric and algebraic aspects of 1-formality
• Quasi-Kähler Bestvina-Brady groups
• Homology of subgroups of right-angled Artin groups