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

The papers during this assortment, all totally refereed, unique papers, replicate many points of contemporary major advances in homotopy conception and staff cohomology. From the Contents: A. Adem: at the geometry and cohomology of finite easy 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.- ok. Ishiguro: Classifying areas of compact basic 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 good splitting: the classifying house of the 4-dim unipotent group.- J.E. McClure, L. Smith: at the homotopy specialty of BU(2) on the major 2.- G. Mislin: Cohomologically significant components and fusion in groups.

**Read or Download 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 PDF**

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**Additional info 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**

**Sample text**

1) -~ > (2). (2) :=~ (1) clearly. To show that (1) ~ (2) we only need to apply i • H o m u ( - , M ) to an exact sequence kere ~ L --+ N where L is a free object of U for any m-nilpotentN. (2) ,=ez (3). tl. 11. 16 ExarnpIes: (1) Assume that M has dimension m, that is M k = 0 if k > m then M is A/i/m-closed. But not (m - 1)-reduced if M rn ¢ O. In fact, we can write an injective resolution of M that starts as: M --~ I I Y(na) ~ I I Y(n3) with 0 _< na _< m a 40 a n d 0 < n# < m - 1 . I f M m 7~ O, EmF2 C M hence M i s n o t ( m - 1 ) - r e d u c e d .

I Math. 310 (1990), 207-210. [13] C. CASACUBERTA,G. PESCItKE and M. PFENNIGER, On orthogonal pairs in categories and localization, preprint (1990). [14] P. HALL, Some constructions for locally finite groups, J. London Math. Soc. 34 (1959), 305-319. [15] P. HILTON, On the extended genus, Acta Math. Sinica (N. ) 4 (1988), no. 4, 372-382. [16] P. HILTON, G. MISLIN and J. ROITBERG, Localization of N{lpotent Groups and Spaces, North-Holland Math. Studies 15 (1975). [17] R. C. LYNDON and P. E. ScItuPP, Combinatorial Group Theory, Ergeb.

29 [20] P. RIBENBOIM, Torsion et localisation de groupes arbitraires, Lecture Notes in Math. 740, Springer-Verlag, 1978, 444-456. [21] P. RIBENBOIM, Equations in groups, with special emphasis on localization and torsion I, Atti Accad. Naz. Lincei Mem. Cl. Sci. Fis. Mat. Natur. Sez. Ia (8) 19 (1987), no. 2, 23-60. [22] P. RIBENBOIM, Equations in groups, with special emphasis on localization and torsion II, Portugal. Math. 44 (1987), fasc. 4, 417-445. [23] D. J. S. ROBINSON, Finiteness Conditions and Generalized Soluble Groups, Part P, Ergeb.