Algebraic Topology Homotopy and Group Cohomology: Proceedings of the 1990 Barcelona Conference on Algebraic Topology, held in S. Feliu de Guíxols, Spain, June 6–12, 1990

Alejandro Adem (auth.), Jaume Aguadé, Manuel Castellet, Frederick Ronald Cohen (eds.)9780387551951, 0387551956, 3540551956

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.

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Table of contents :
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