Title:      Some examples of discrete group actions on aspherical manifolds 

Authors:    Michael W. Davis and Ian J. Leary

Addresses:  

M. W. Davis
Department of Mathematics
The Ohio State University
231 W. 18th Avenue
Columbus
Ohio 43210
United States



I. J. Leary 
Faculty of Mathematical Studies
University of Southampton
\break Southampton
SO17 1BJ
United Kingdom






Abstract:  We construct two classes of examples of proper cocompact
actions of discrete, virtually torsion-free groups on aspherical
manifolds. For $G$ in one of the classes, there is no finite model for
the classifying space for proper $G$-actions.  

For $G$ in the other class, the aspherical manifold is CAT(0) and so is
itself a model for the classifying space for proper
$G$-actions. However, the fixed point sets for certain 
finite subgroups of $G$ are not submanifolds, and the centralizers of
these subgroups are not virtual Poincare duality groups.