Download E-books Cohomology of Finite Groups (Grundlehren der mathematischen Wissenschaften) PDF

By Alejandro Adem

A few historic history This publication offers with the cohomology of teams, rather finite ones. traditionally, the topic has been one among major interplay among algebra and topology and has at once resulted in the production of such vital components of arithmetic as homo­ logical algebra and algebraic K-theory. It arose essentially within the 1920's and 1930's independently in quantity concept and topology. In topology the focus was once at the paintings ofH. Hopf, yet B. Eckmann, S. Eilenberg, and S. MacLane (among others) made major contributions. the most thrust of the early paintings the following was once to attempt to appreciate the meanings of the low dimensional homology teams of an area X. for instance, if the common hide of X was once 3 attached, it used to be recognized that H2(X; A. ) relies basically at the primary team of X. staff cohomology at first looked as if it would clarify this dependence. In quantity concept, team cohomology arose as a traditional equipment for describing the most theorems of sophistication box concept and, specifically, for describing and interpreting the Brauer workforce of a box. It additionally arose clearly within the examine of workforce extensions, N

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