Local Fields
2nd Edition
Published on 31. December 1979
Book
Hardback
VIII, 241 pages
978-3-540-90424-3 (ISBN)
Description
This text on local fields covers such topics as ramification theory, group cohomology, local class field theory and basic results on discrete valuation rings.
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Persons
Content
Basic results on discrete valuations rings, Dedekind domains and completions; ramification theory - discriminant, different, ramification subgroups, Hasse-Arf theorem, Artin representations; group cohomology, with emphasis on arithmetical applications - theorems of Tate and Nakayama, Galois cohomology, class formations; local class field theory, presented from the cohomological point of view.