Geometry & Topology Monographs 3 (2000) - Invitation to higher local fields, Part I, section 14, pages 117-122

Explicit abelian extensions of complete discrete valuation fields

I. Zhukov

Abstract. This work presents author's explicit methods of constructing abelian extensions of complete discrete valuation fields. His approach to explicit equations of a cyclic extension of degree p^n which contains a given cyclic extension of degree p is explained.
Keywords. Abelian extensions, complete discrete valuation fields.
AMS subject classification. 12F99, 12J25, 11-99.

E-print: arXiv:math.NT/0012145

Igor Zhukov
Department of mathematics and mechanics, St. Petersburg University, Bibliotechnaya pl. 2, Staryj Petergof 198904 St. Petersburg, Russia

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