Mathematical Proceedings of the Cambridge Philosophical Society · 2003 · 33 citations · 17 references
Natural SciencesEast Asian LiteraturesTransfer PricingArithmetic GeometryCohomology TheoryGalois TheoryLie GroupsLocal FieldsAbelian CategoriesGalois CohomologyGalois ExtensionsIwasawa TheoryLie Group ExtensionsLocal Cohomology Of FieldsP-adic CohomologyP-adic Fields
Abstract. In this paper we study Iwasawa modules arising from Galois cohomology over general p-adic Lie extensions both in the local and global case. In particular we calculate their Λ-ranks. Then we apply the results to abelian varieties. 1.
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