**MSC:**- 55P35 Loop spaces
- 55T20 Eilenberg-Moore spectral sequences, See also {57T35}
- 57T15 Homology and cohomology of homogeneous spaces of Lie groups
- 57T35 Applications of Eilenberg-Moore spectral sequences, See also {55R20, 55T20}
- 57T25 Homology and cohomology of ${H}$-spaces

integral cohomology of the quotient of a 1-connected compact

Lie group by its maximal torus is concentrated in even degrees.

In this thesis we generalize the theorem of Bott to a large

class of finite loop spaces and p-compact groups by using

the Eilenberg-Moore spectral sequence and Brown-Peterson

homology instead of Morse theory. We also study torsion

question in the integral cohomology of finite loop spaces

generalizing results of Kac and Toda in the case of compact

Lie groups.

to the Mathematics Faculty of the University of Goettingen.

Goettingen, Math. Inst. der Univ. und Univ. Diss. 1996

SuUB Sigantur: DISS 97 A 9151