Algebraic Topology

Homotopy and Group Cohomology, Lecture Notes in Mathematics 1509

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Bibliografische Daten
ISBN/EAN: 9783540551959
Sprache: Englisch
Umfang: x, 334 S.
Auflage: 1. Auflage 1992
Einband: kartoniertes Buch

Beschreibung

InhaltsangabeOn 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.