Algebraic Topology: Homotopy and Group Cohomology

by Jaume Aguade (Editor), Manuel Castellet (Editor), Frederick R. Cohen (Editor)

Overview

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.

Product Details

ISBN-13:	9783540551959
Publisher:	Springer Berlin Heidelberg
Publication date:	03/25/1992
Series:	Lecture Notes in Mathematics , #1509
Edition description:	1992
Pages:	334
Product dimensions:	6.10(w) x 9.20(h) x 0.90(d)

Table of Contents

On the geometry and cohomology of finite simple groups.- Resolutions and Poincaré duality for finite groups.- Groups and spaces with all localizations trivial.- More examples of non-cancellation in homotopy.- On sub-A*p-algebras of H*V.- The classification of 3-manifolds with spines related to Fibonacci groups.- Algorithm for the computation of the cohomology of—-groups.- Remarks on the homotopy theory associated to perfect groups.- Homotopy localization and V 1-periodic spaces.- The modulo 2 cohomology algebra of the wreath product—??X .- Lannes' division functors on summands of H*(B(Z/p)r).- Classes homotopiques associees a une G-operation.- A note on the Brauer lift map.- Categorical models of N-types for pro-crossed complexes and—n-prospaces.- Morava K-theories of classifying spaces and generalized characters for finite groups.- Classifying spaces of compact simple lie groups and p-tori.- On parametrized Borsuk-Ulam theorem for free Z p -action.- Réalisation topologique de certaines algèbres associées aux algèbres de Dickson / Topological realisation of certain algebras associated to the Dickson algebras.- Normalized operations in cohomology.- Concise tables of James numbers and some homotopy of classical Lie groups and associated homogeneous spaces.- An example of a stable splitting: The classifying space of the 4-dim unipotent group.- On the homotopy uniqueness of BU(2) at the prime 2.- On infinite dimensional spaces that are rationally equivalent to a Bouquet of spheres.- Cohomologically central elements and fusion in groups.- Rational homotopy of the space of homotopy equivalences of a flag manifold.- Rational cohomology and homotopy of spaces with circle action.- On the action of steenrod powers on polynomial algebras.