Download Algebraic Topology Homotopy and Group Cohomology: by Alejandro Adem (auth.), Jaume Aguadé, Manuel Castellet, PDF

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.

Show description

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

Similar topology books

Fundamental Groups and Covering Spaces

The ordinary personality of basic teams and overlaying areas are offered as appropriate for introducing algebraic topology. the 2 subject matters are handled in separate sections. the focal point is at the use of algebraic invariants in topological difficulties. functions to different parts of arithmetic resembling actual research, complicated variables, and differential geometry also are mentioned.

Nonabelian Algebraic Topology: Filtered Spaces, Crossed Complexes, Cubical Homotopy Groupoids

The most subject of this ebook is that using filtered areas instead of simply topological areas permits the advance of simple algebraic topology by way of greater homotopy groupoids; those algebraic buildings higher replicate the geometry of subdivision and composition than these mostly in use.

Conference on Algebraic Topology in Honor of Peter Hilton

This e-book, that is the complaints of a convention held at Memorial college of Newfoundland, August 1983, comprises 18 papers in algebraic topology and homological algebra via collaborators and co-workers of Peter Hilton. it's devoted to Hilton at the social gathering of his sixtieth birthday. a number of the issues coated are homotopy concept, $H$-spaces, crew cohomology, localization, classifying areas, and Eckmann-Hilton duality.

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.

Download PDF sample

Rated 4.46 of 5 – based on 42 votes

About the Author

admin