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Some results on local fields

Akram Lbekkouri — 2013

Annales UMCS, Mathematica

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.

Some results on local fields

Akram Lbekkouri — 2013

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

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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