Contents

Preface

Systems of parameters and the structure of cohomology rings of finite

groups

IX

JON

E

CARLSON

1

The role of the Steinberg module in splitting BG

JILL DIETZ

9

Equivariant vector bundles on the Lubin-Tate moduli space

M. J. HOPKINS AND

B.

H. GROSS

23

Constructions of elements in Picard groups

MICHAEL J. HOPKINS, MARK MAHOWALD, AND HAL SADOFSKY

89

All complex Thorn spectra are harmonic

IGOR KRIZ

127

Constructions of families of elements in the stable homotopy groups of

spheres

NICHOLAS J. KUHN

135

Classifying spaces of p-groups with cyclic maximal subgroups

JOHN

R.

MARTINO

157

On the classifying spaces of SL3(Z), St3(Z) and finite Chevalley groups

N ORIHIKO MINAMI

175

The chromatic filtration and the Steenrod algebra

JOHN H. PALMIERI

187

Topology, representations and equivariant algebraic geometry

TED PETRIE

203

On the chromatic E 1-term

H*

M6

KATSUMI 8HIMOMURA AND ATSUKO YABE

217

On a space realizing the v1-torsion part of the mod

p

homotopy groups of

83

DAI TAMAKI

vii

229