Ran Levi

Northwestern University

On p-completed classifying spaces of discrete groups and finite complexes

We show that for certain discrete $p$-perfect groups $G$, in
particular for all $p$-perfect groups of finite cohomological
dimension, the loop space on the $p$-completed classifying space
$\lbgp$ is a retract of the loop spaces on a certain finite 
complex. For finite $vcd$ groups we provide a bound on the the
dimension of such a complex.


Submitted