Title | Algebraic Topology Homotopy and Group Cohomology [electronic resource] : Proceedings of the 1990 Barcelona Conference on Algebraic Topology, held in S. Feliu de Guรญxols, Spain, June 6-12, 1990 / edited by Jaume Aguadรฉ, Manuel Castellet, Frederick Ronald Cohen |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1992 |

Connect to | http://dx.doi.org/10.1007/BFb0087495 |

Descript | X, 334 p. online resource |

SUMMARY

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

CONTENT

On the geometry and cohomology of finite simple groups -- Resolutions and Poincarรฉ 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 -- Rรฉalisation topologique de certaines algรจbres associรฉes aux algรจbres 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

Mathematics
Category theory (Mathematics)
Homological algebra
Algebraic topology
Mathematics
Algebraic Topology
Category Theory Homological Algebra