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Local Fields and Their Extensions: Second Edition
About this Title
Ivan B. Fesenko, University of Nottingham, Nottingham, England and Sergei V. Vostokov, Russian Academy of Sciences, St. Petersburg, Russia. Translated by Ivan B Fesenko
Publication: Translations of Mathematical Monographs
Publication Year:
1993; Volume 121
ISBNs: 978-0-8218-4613-1 (print); 978-1-4704-4664-2 (online)
DOI: https://doi.org/10.1090/mmono/121
MathSciNet review: MR1218392
MSC: Primary 11Sxx; Secondary 11S31
Table of Contents
Front/Back Matter
Chapters
- Chapter I. Complete discrete valuation fields
- Chapter II. Extensions of discrete valuation fields
- Chapter III. The norm map
- Chapter IV. Local class field theory I
- Chapter V. Local class field theory II
- Chapter VI. The group of units of local number fields
- Chapter VII. Explicit formulas for the Hilbert symbol
- Chapter VIII. Explicit formulas for the Hilbert pairings on formal groups
- Chapter IX. The Milnor $K$-groups of a local field