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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.

##### MSC:
 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