Equivalence Between Non-Localizable and Local Fields
F. Constantinescu, J. G. Taylor (1973)
Recherche Coopérative sur Programme n°25
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F. Constantinescu, J. G. Taylor (1973)
Recherche Coopérative sur Programme n°25
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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.
Ivan B. Fesenko (1995)
Mathematische Annalen
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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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Kâzim Ilhan Ikeda, Erol Serbest (2010)
Acta Arithmetica
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Opolka, Hans (1990)
International Journal of Mathematics and Mathematical Sciences
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Nigel Byott (1991)
Manuscripta mathematica
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Wiliam G. McCallum (1995)
Journal für die reine und angewandte Mathematik
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V. Alexandru, A. Popescu, N. Popescu (1996)
Mathematische Zeitschrift
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Ku-Young Chang, Soun-Hi Kwon (2002)
Acta Arithmetica
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Young-Ho Park (2002)
Acta Arithmetica
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G. Leloup (2003)
Collectanea Mathematica
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We prove some properties similar to the theorem Ax-Kochen-Ershov, in some cases of pairs of algebraically maximal fields of residue characteristic p > 0. This properties hold in particular for pairs of Kaplansky fields of equal characteristic, formally p-adic fields and finitely ramified fields. From that we derive results about decidability of such extensions.
Stéphane R. Louboutin (2006)
Acta Arithmetica
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H. Zantema (1983)
Manuscripta mathematica
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Keiji Okano (2006)
Acta Arithmetica
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