Arrangements of hypersurfaces and Bestvina–Brady groups

  • Enrique Artal Bartolo

    Universidad de Zaragoza, Spain
  • José Ignacio Cogolludo-Agustín

    Universidad de Zaragoza, Spain
  • Daniel Matei

    Romanian Academy, Bucharest, Romania


We show that quasi-projective Bestvina–Brady groups are fundamental groups of complements to hyperplane arrangements. Furthermore we relate other normal subgroups of right-angled Artin groups to complements to arrangements of hypersurfaces. We thus obtain examples of hypersurface complements whose fundamental groups satisfy various niteness properties.

Cite this article

Enrique Artal Bartolo, José Ignacio Cogolludo-Agustín, Daniel Matei, Arrangements of hypersurfaces and Bestvina–Brady groups. Groups Geom. Dyn. 9 (2015), no. 1, pp. 103–131

DOI 10.4171/GGD/307