The class number one problem for the non-abelian normal CM-fields of degree 16
Stéphane Louboutin (1997)
Acta Arithmetica
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Stéphane Louboutin (1997)
Acta Arithmetica
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Daniel Shanks, Peter Weinberger (1972)
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Young-Ho Park, Soun-Hi Kwon (1998)
Acta Arithmetica
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David Gay (1979)
Acta Arithmetica
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Franz Lemmermeyer (1997)
Journal de théorie des nombres de Bordeaux
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Classical results of Rédei, Reichardt and Scholz show that unramified cyclic quartic extensions of quadratic number fields correspond to certain factorizations of its discriminant disc . In this paper we extend their results to unramified quaternion extensions of which are normal over , and show how to construct them explicitly.
A. Bazylewicz (1976)
Acta Arithmetica
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Harris Hancock (1921)
Journal de Mathématiques Pures et Appliquées
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Joseph E. Carroll (1975)
Compositio Mathematica
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Andrzej Schinzel (1973)
Acta Arithmetica
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