ON THE HOMOTOPY THEORY OF p-COMPLETED CLASSIFYING SPACES

By Frederick R. Cohen and Ran Levi

Abstract

This paper is mostly a  survey of work done on the subject of the
title. In particular we  concentrate on the study of p-completed
classifying spaces of finite p-perfect groups and the 
associated loop spaces.  We consider homological properties as well as
various homotopy theoretic properties of these spaces and relate those
properties to other questions in and outside of homotopy theory. 
A substantial number of examples, open questions and conjectures is included.