We introduce and examine a special class of cube complexes. We show that special cube-complexes virtually admit local isometries to the standard 2-complexes of naturally associated right-angled Artin groups. Consequently, special cube-complexes have linear fundamental groups. In the word-hyperbolic case, we prove the separability of quasiconvex subgroups of fundamental groups of special cube-complexes. Finally, we give a linear variant of Rips's short exact sequence. © 2007 Birkhaeuser.
CITATION STYLE
Haglund, F., & Wise, D. T. (2008). Special cube complexes. Geometric and Functional Analysis, 17(5), 1551–1620. https://doi.org/10.1007/s00039-007-0629-4
Mendeley helps you to discover research relevant for your work.