The papers in this collection, all fully refereed, original papers, reflect many aspects of recent significant advances in homotopy theory and group cohomology. From the Contents: A. Adem: On the geometry and cohomology of finite simple groups.- D.J. Benson: Resolutions and Poincar duality for finite groups.- C. Broto and S. Zarati: On sub-A*-algebras of H*V.- M.J. Hopkins, N.J. Kuhn, D.C. Ravenel: Morava K-theories of classifying spaces and generalized characters for finite groups.- K. Ishiguro: Classifying spaces of compact simple lie groups and p-tori.- A.T. Lundell: Concise tables of James numbers and some homotopyof classical Lie groups and associated homogeneous spaces.- J.R. Martino: Anexample of a stable splitting: the classifying space of the 4-dim unipotent group.- J.E. McClure, L. Smith: On the homotopy uniqueness of BU(2) at the prime 2.- G. Mislin: Cohomologically central elements and fusion in groups.
Author(s): Alejandro Adem (auth.), Jaume Aguadé, Manuel Castellet, Frederick Ronald Cohen (eds.)
Series: Lecture Notes in Mathematics 1509
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1992
Language: English
Pages: 334
Tags: Algebraic Topology
On the geometry and cohomology of finite simple groups....Pages 1-9
Resolutions and Poincaré duality for finite groups....Pages 10-19
Groups and spaces with all localizations trivial....Pages 20-29
More examples of non-cancellation in homotopy....Pages 30-34
On sub- A * p -algebras of H*V ....Pages 35-49
The classification of 3-manifolds with spines related to Fibonacci groups....Pages 50-78
Algorithm for the computation of the cohomology of ℑ-groups....Pages 79-94
Remarks on the homotopy theory associated to perfect groups....Pages 95-103
Homotopy localization and V 1 -periodic spaces....Pages 104-113
The modulo 2 cohomology algebra of the wreath product Σ ∞∫X ....Pages 115-119
Lannes' division functors on summands of H *( B (Z/ p ) r )....Pages 120-133
Classes homotopiques associees a une G -operation....Pages 134-138
A note on the Brauer lift map....Pages 139-145
Categorical models of N -types for pro-crossed complexes and ℑ n -prospaces....Pages 146-185
Morava K -theories of classifying spaces and generalized characters for finite groups....Pages 186-209
Classifying spaces of compact simple lie groups and p -tori....Pages 210-226
On parametrized Borsuk-Ulam theorem for free Z p -action....Pages 227-234
Réalisation topologique de certaines algèbres associées aux algèbres de Dickson....Pages 235-239
Normalized operations in cohomology....Pages 240-249
Concise tables of James numbers and some homotopy of classical Lie groups and associated homogeneous spaces....Pages 250-272
An example of a stable splitting: The classifying space of the 4-dim unipotent group....Pages 273-281
On the homotopy uniqueness of BU(2) at the prime 2....Pages 282-284
On infinite dimensional spaces that are rationally equivalent to a Bouquet of spheres....Pages 285-293
Cohomologically central elements and fusion in groups....Pages 294-300
Rational homotopy of the space of homotopy equivalences of a flag manifold....Pages 301-312
Rational cohomology and homotopy of spaces with circle action....Pages 313-325
On the action of steenrod powers on polynomial algebras....Pages 326-330
