Algebraic Topology

Homotopy and Group Cohomology
Herausgegeben:Aguade, Jaume; Castellet, Manuel; Cohen, Frederick R.

• Broschiertes Buch

Produktbeschreibung

The papers in this collection, all fully refereed, originalpapers, reflect many aspects of recent significant advancesin homotopy theory and group cohomology.From the Contents: A. Adem: On the geometry and cohomologyof finite simple groups.- D.J. Benson: Resolutions andPoincar 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 andgeneralized 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 somehomotopyof classical Lie groups and associated homogeneousspaces.- J.R. Martino: Anexample of a stable splitting: theclassifying space of the 4-dim unipotent group.- J.E.McClure, L. Smith: On the homotopy uniqueness of BU(2) atthe prime 2.- G. Mislin: Cohomologically central elementsand fusion in groups.

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Produktdetails

• Lecture Notes in Mathematics 1509
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-55195-9
• 1992
• Seitenzahl: 344
• Erscheinungstermin: 26. Februar 1992
• Englisch
• Abmessung: 235mm x 155mm x 19mm
• Gewicht: 520g
• ISBN-13: 9783540551959
• ISBN-10: 3540551956
• Artikelnr.: 23886955

Inhaltsangabe

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.