Titlebook: Cohomology of Number Fields; Jürgen Neukirch,Alexander Schmidt,Kay Wingberg Book 2008Latest edition The Editor(s) (if applicable) and The

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Cohomology of Profinite GroupsProfinite groups are topological groups which naturally occur in algebraic number theory as Galois groups of infinite field extensions or more generally as étale fundamental groups of schemes. Their cohomology groups often contain important arithmetic information.

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paroxysm

Iwasawa ModulesThe Iwasawa algebra, usually denoted by the Greek letter Λ, is the complete group algebra . of a group Γ, which is . isomorphic to .. This means that we will not specify a particular isomorphism . or, equivalently, we will not fix a topological generator . of the procyclic group Γ.

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Cohomology of Global FieldsHaving established the cohomology theory for local fields, we now begin its development for global fields, i.e. algebraic number fields and function fields in one variable over a finite field. The cohomology theory treats both types of fields equally.

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https://doi.org/10.1007/978-3-540-37889-1Galois group; Galois groups; algebra; algebraic number field; algebraic number fields; algebraic number t

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A Current View of Oxygen Supply Dependencyalled . (to 1) if every open subgroup . of . contains the images ..(..) for almost all ., i.e. all but a finite number. The free products of pro-.-groups are defined by the following universal property.

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