Finite automorphisms of negatively curved Poincare Duality groups

Abstract

In this paper, we show that if G is a finite p-group (p prime) acting by automorphisms on a $\delta$-hyperbolic Poincare Duality group, then the fixed subgroup is a Poincare Duality group over Z/p. We also provide examples to show that the fixed subgroup might not even be a Duality group over Z.

11 pages, 1 figure; revised version has shorter proof for Prop 2.1; appeared in Geom. Funct. Anal. 14 (2004), pgs. 283-294