Serre's theorem and the Nil_l filtration of Lionel Schwartz

Author: Jesper Grodal 
Date: Oct. 1997. 
Status: To appear in: Proceedings of the BCAT98, Progress in Math., 
Birkh\"auser Verlag. 
Pages: 7. 

Abstract: We give three different cohomological characterizations of 
classifying spaces of $p$-compact toral groups amongst finite Postnikov 
systems satisfying mild conditions. This leads to a unifying generalization 
of previous versions of Serre's theorem on the homotopy groups of a finite 
complex.