Local Fields and Their Extensions
A Constructive Approach
American Mathematical Society (Publisher)
Published on 1. January 1993
Book
Paperback/Softback
283 pages
978-0-8218-4613-1 (ISBN)
Article exhausted; check for reprint
Description
This text is devoted to the study of complete discrete valuation fields with perfect residue fields. One special feature is the absence of cohomology; although most specialists would find it difficult to conceive of serious discussions in this area without the application of cohomology groups, the authors believe that many problems can be presented more rationally when based on more natural, explicit constructions. In addition, a cohomology-free treatment seems to be preferable for those who are encountering this subject for the first time. The main prerequisite is a standard graduate course in algebra, and familiarity with *r-adic fields is also helpful background.
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Series
Language
English
Place of publication
Providence
United States
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 260 mm
Width: 184 mm
Weight
531 gr
ISBN-13
978-0-8218-4613-1 (9780821846131)
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Book
07/2002
2nd Edition
American Mathematical Society
€209.82
Article not available at the moment
Content
1: Complete discrete valuation fields; 2: extensions of discrete valuation fields; 3: the norm map; 4: local class field theory; I; 5: local class field theory; II; 6: the group of units in a *rp-adic field; 7: explicit formulas for the Hilbert norm residue symbold; 8: explicit formulas for the Hilbert pairing on formal groups; 9: the Milnor *K-groups of a local field.