Titlebook: Local Fields; Jean-Pierre Serre Textbook 1979 Springer Science+Business Media New York 1979 Fields.Lokaler Körper.algebra.algebraic geomet

Keshan-disease

978-1-4757-5675-3Springer Science+Business Media New York 1979

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钢盔

Discrete Valuation Rings and Dedekind DomainsA ring A is called a . if it is a principal ideal domain (Bourbaki, .., Chap. VII) that has a unique non-zero prime ideal m(A). [Recall that an ideal p of a commutative ring A is called . if the quotient ring A/p is an integral domain.]

留恋

CompletionLet K be a field on which a discrete valuation y is defined, having valuation ring A.

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Artin Representation(We recall well-known definitions and results. The reader could consult, for example, M. Hall [30], Chap. XVI or [114], for the proofs.)

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Basic FactsThis chapter and the next are devoted to recalling the basic definitions and results on the homology and cohomology of groups; for more details, refer to Cartan-Eilenberg [13] or Grothendieck [26], as well as [75], [88], [93] and [113].

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Confirm

Theorems of Tate and NakayamaLet . be a prime number. Recall that a finite group G is called a . if its order Card(G) is a power of