By Alejandro Adem (auth.), Jaume Aguadé, Manuel Castellet, Frederick Ronald Cohen (eds.)

ISBN-10: 3540467726

ISBN-13: 9783540467724

ISBN-10: 3540551956

ISBN-13: 9783540551959

The papers during this assortment, all absolutely refereed, unique papers, replicate many features of contemporary major advances in homotopy thought and workforce cohomology. From the Contents: A. Adem: at the geometry and cohomology of finite basic 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 areas and generalized characters for finite groups.- okay. Ishiguro: Classifying areas of compact uncomplicated lie teams and p-tori.- A.T. Lundell: Concise tables of James numbers and a few homotopyof classical Lie teams and linked homogeneous spaces.- J.R. Martino: Anexample of a sturdy splitting: the classifying house of the 4-dim unipotent group.- J.E. McClure, L. Smith: at the homotopy specialty of BU(2) on the top 2.- G. Mislin: Cohomologically imperative parts and fusion in groups.

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Extra resources for 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

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L] J. LANNES, Sur la cohomologie modulo p des p-groupes abeliens 616mentaries, L. M. S, Camb. Univ. Press; Proc. Durham Symposium on Homotopy Theory 1985, (1987), 97-116. [LS] J. LANNES AND L. SCIIWARTZ, Sur la structure des A~-modules instables injectifs, Topology 28 (1989), 153-169. [LZ1] J. LANNES AND S. ZARATI, Sur les L/-injectifs, Ann. Scient. Ec. Norm. Sup. 19 (1986), 303-333. [LZ2] 25-59. , Foncteurs d~riv~s de la d@stabilisation, Math. Z. R. MILLER, The Sullivan conjecture on maps from classifying spaces, Annal~ of Math 120 (1984), 39-87.

ZARATI, Sur les L/-injectifs, Ann. Scient. Ec. Norm. Sup. 19 (1986), 303-333. [LZ2] 25-59. , Foncteurs d~riv~s de la d@stabilisation, Math. Z. R. MILLER, The Sullivan conjecture on maps from classifying spaces, Annal~ of Math 120 (1984), 39-87. IS] L. SCHWARTZ, La filtration nilpotente de la cat@gorie L¢ et la cohomologie des espaces de lacets, in "Algebraic Topology Rational Homotopy, Louvain 1986," Lecture Notes in Math 1318, Springer, 1988. G. M. 76, 1968. W. WILKERSON,Integral closure of unstable Steenrod algebra actions, JPAA 13 (1978), 49-55.

1), Hk(X; Zp) = 0 for all k >_ 1, where Z v denotes the integers localized at p. If this happens for all primes p, then X is acyclic and ~rl(X) is generically trivial. Thus, (d)=~(a). 1. Such spaces are not rare. 3 Every acyclic space X with finite fundamental group is generically trivial. PROOF. If X is acyclic, then r l ( X ) is a perfect group. 6. [3 Also classifying spaces of generically trivial acyclic groups G are generically trivial spaces. 7. One explicit example is Philip Hall's countable universal locally finite group; see [5].

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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 by Alejandro Adem (auth.), Jaume Aguadé, Manuel Castellet, Frederick Ronald Cohen (eds.)


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