Titlebook: Cohomology of Finite Groups; Alejandro Adem,R. James Milgram Book 19941st edition Springer-Verlag Berlin Heidelberg 1994 Algebraic K-theor

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https://doi.org/10.1007/978-1-349-18955-7In this chapter we introduce the main computational techniques for determining the cohomology of finite groups. We start with the various forms of the Lyndon-Hochschild-Serre spectral sequence, first from a geometric point of view in §1 and. then from a purely algebraic point of view, following work of A. Liulevicius and C.T.C. Wall, in §2.

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Group Extensions, Simple Algebras and Cohomology,ements in the first group will count the number of distinct extensions which are possible up to an appropriate notion of isomorphism. These results are due to S. Eilenberg and S. MacLane, and first appeared in a paper in the Annals of Mathematics in 1947, [EM].

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