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Representations and cohomology. II: Cohomology of groups and modules. (English) Zbl 0908.20002
Cambridge Studies in Advanced Mathematics. 31. Cambridge: Cambridge University Press. xi, 279 p. (1998).
In this paperback edition of his two-volume textbook (for Vol. 1 see the preceding item Zbl 0908.20001), the author has taken the opportunity to correct some errors appearing in the first hardcover edition [for a review of the first ed. of Vol. 2 (1991) see Zbl 0731.20001]. In particular, the sections on Morita theory, on Hopf algebras and on rank varieties have undergone major changes. The author has also added comments on recent developments, and has updated the bibliography.

20-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory
20C20 Modular representations and characters
20J06 Cohomology of groups
20C05 Group rings of finite groups and their modules (group-theoretic aspects)
19A22 Frobenius induction, Burnside and representation rings
20J05 Homological methods in group theory
20-02 Research exposition (monographs, survey articles) pertaining to group theory
19D55 \(K\)-theory and homology; cyclic homology and cohomology
18G10 Resolutions; derived functors (category-theoretic aspects)
18G15 Ext and Tor, generalizations, Künneth formula (category-theoretic aspects)
18G30 Simplicial sets; simplicial objects in a category (MSC2010)
55Q05 Homotopy groups, general; sets of homotopy classes
18G40 Spectral sequences, hypercohomology
55U15 Chain complexes in algebraic topology
55U25 Homology of a product, Künneth formula
55U20 Universal coefficient theorems, Bockstein operator