Superprimes and a generalized Frobenius symbol
Wolfram Jehne, Norbert Klingen (1977)
Acta Arithmetica
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Wolfram Jehne, Norbert Klingen (1977)
Acta Arithmetica
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Masato Kurihara (1987)
Compositio Mathematica
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Angus Macintyre (1971)
Fundamenta Mathematicae
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Chipchakov, I. (2004)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 11S31 12E15 12F10 12J20. This paper gives a characterization of Henselian discrete valued fields whose finite abelian extensions are uniquely determined by their norm groups and related essentially in the same way as in the classical local class field theory. It determines the structure of the Brauer groups and character groups of Henselian discrete valued strictly primary quasilocal (or PQL-) fields, and thereby, describes the forms...
Repka, Joe (1988)
International Journal of Mathematics and Mathematical Sciences
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Akram Lbekkouri (2013)
Annales UMCS, Mathematica
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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.
Victor Alexandru, Nicolae Popescu (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Kuniaki Horie (1990)
Compositio Mathematica
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Jacob Beard, Robert Mcconnel (1982)
Acta Arithmetica
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