Download Cohomology of Finite Groups (Grundlehren der mathematischen by Alejandro Adem,R. James Milgram PDF

By Alejandro Adem,R. James Milgram

a few old historical past This ebook offers with the cohomology of teams, relatively finite ones. traditionally, the topic has been one in all major interplay among algebra and topology and has without delay ended in the construction of such vital parts of arithmetic as homo­ logical algebra and algebraic K-theory. It arose essentially within the 1920's and 1930's independently in quantity idea 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 right here used to be to attempt to appreciate the meanings of the low dimensional homology teams of an area X. for instance, if the common disguise of X used to be 3 attached, it used to be recognized that H2(X; A. ) relies basically at the basic staff of X. team cohomology at first seemed to clarify this dependence. In quantity idea, staff cohomology arose as a average machine for describing the most theorems of sophistication box conception and, specifically, for describing and studying the Brauer staff of a box. It additionally arose certainly within the research of workforce extensions, N

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