Titlebook: Galois Theory of p-Extensions; Helmut Koch Book 2002 Springer-Verlag Berlin Heidelberg 2002 Cohomology.Prime.algebra.chomology of groups.c

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Group Algebras of pro-, Groups,the complete group algebra of a pro-. group. In this chapter, . will always denote a compact commutative ring with identity. For finite groups ., the additive group of the group ring .[.] is isomorphic to the direct sum of #. copies of ., and thus inherits a topology that makes .[.] into a compact group ring.

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Global Fields of Finite Type,l part of this book. We are going to study the Galois group . of the maximal .-extension of . unramified outside some set of primes . of ., and we investigate in particular how to use the theorems on the structure of the Galois group of the maximal .-extension of a local field derived in the last chapter to get results on ..

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https://doi.org/10.1007/978-3-663-14669-8s of cohomology groups of discrete modules of profinite groups. It is this calculus that we have to build first. Here we mainly have to take the requirements for Galois cohomology into consideration, whereas the cohomology of finite groups that is needed for class field theory is only developed as f

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https://doi.org/10.1007/978-3-322-81563-7the complete group algebra of a pro-. group. In this chapter, . will always denote a compact commutative ring with identity. For finite groups ., the additive group of the group ring .[.] is isomorphic to the direct sum of #. copies of ., and thus inherits a topology that makes .[.] into a compact g

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https://doi.org/10.1007/978-3-662-41498-9l part of this book. We are going to study the Galois group . of the maximal .-extension of . unramified outside some set of primes . of ., and we investigate in particular how to use the theorems on the structure of the Galois group of the maximal .-extension of a local field derived in the last ch

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