Fields with non-trivial Kaplansky's radical and finite square class number
M. Kula (1981)
Acta Arithmetica
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M. Kula (1981)
Acta Arithmetica
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Alfred Czogała (1991)
Mathematica Slovaca
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Albrecht Pfister (1979)
Mémoires de la Société Mathématique de France
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Ken Yamamura (2001)
Journal de théorie des nombres de Bordeaux
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In the previous paper [15], we determined the structure of the Galois groups of the maximal unramified extensions of imaginary quadratic number fields of conductors under the Generalized Riemann Hypothesis (GRH) except for 23 fields (these are of conductors ) and give a table of . We update the table (under GRH). For 19 exceptional fields of them, we determine . In particular, for , we obtain , the fourth Hilbert class field of . This is the first example of a number...
K. Kramer, J. Tunnell (1982)
Compositio Mathematica
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Tsit Yuen Lam, David B. Leep, Jean-Pierre Tignol (1993)
Publications Mathématiques de l'IHÉS
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Masato Kurihara (1987)
Compositio Mathematica
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Bertin Diarra (1994)
Annales mathématiques Blaise Pascal
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