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Homology and Cohomology of Profinite Groups

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Profinite Groups

Abstract

In this section we introduce some terminology and sketch some general homological results. We shall state the concepts and results for general abelian categories to avoid repetitions, but we are mainly interested in categories of modules such as Mod(Λ), PMod(Λ) DMod(Λ) or DMod(G), where Λ is a profinite ring and G a profinite group. All functors will be assumed to be additive, i.e., they preserve direct sums systems of the form A B.

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Correspondence to Luis Ribes .

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© 2010 Springer-Verlag Berlin Heidelberg

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Ribes, L., Zalesskii, P. (2010). Homology and Cohomology of Profinite Groups. In: Profinite Groups. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01642-4_6

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