Abelian extensions of an absolutely unramified local field with general residue field.
Masato Kurihara (1988)
Inventiones mathematicae
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Masato Kurihara (1988)
Inventiones mathematicae
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Let K be a local field with finite residue field of characteristic p. This paper is devoted to the study of the maximal abelian extension of K of exponent p-1 and its maximal p-abelian extension, especially the description of their Galois groups in solvable case. Then some properties of local fields in general case are studied too.
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