Abstract
Let G be a profinite group and let p be a prime number. Recall that if A is an abelian group, then A p denotes its p-primary component, i.e., the subgroup consisting of those elements of A of order p n, for some n. If A=A p we say that A is p-primary. The cohomological p-dimension cd p (G) of G is the smallest non-negative integer n such that H k(G,A) p =0 for all k>n and \(A\in\mathbf {DMod}(\lbrack\!\lbrack\widehat{\mathbf{Z}}G\rbrack\!\rbrack)\), if such an n exists. Otherwise we say that cd p (G)=∞.
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© 2010 Springer-Verlag Berlin Heidelberg
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Ribes, L., Zalesskii, P. (2010). Cohomological Dimension. 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_7
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DOI: https://doi.org/10.1007/978-3-642-01642-4_7
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