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Explicit abelian extensions of complete discrete valuation
fields
Igor Zhukov
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Geometry & Topology Monographs 3
(2000) 117–122
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Abstract
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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 pn which contains a given cyclic extension of degree p is
explained.
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Keywords
abelian extensions, complete discrete
valuation fields
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Mathematical Subject Classification
Primary: 11-99, 12F99, 12J25
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Publication
Published: 10 December 2000
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