Hyperbolic Coxeter groups of large dimension
by
Tadeusz Januszkiewicz
Wroclaw University and IM PAN, visiting Binghamton University
Coauthors: Jacek Swiatkowski (Wroclaw)

We construct Gromov hyperbolic Coxeter groups of arbitrarily large vcd. Along the way we construct interesting auxillary simplicial complexes. We also generalize Vinberg's theorem: If W is an n-dimensional virtual Poincare duality, Gromov hyperbolic, Coxeter group, then n 61.

Date received: February 28, 2002