Abstract
In this section we introduce some terminology and sketch some general homological results. For more details the reader may consult, e.g., Grothendieck [1957], Cartan-Eilenberg [1956] or Mac Lane [1963]. 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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© 2000 Springer-Verlag Berlin Heidelberg
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Ribes, L., Zalesskii, P. (2000). Homology and Cohomology of Profinite Groups. In: Profinite Groups. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04097-3_6
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DOI: https://doi.org/10.1007/978-3-662-04097-3_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08632-8
Online ISBN: 978-3-662-04097-3
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