The factoriality of Zariski rings
Jeffrey Lang (1987)
Compositio Mathematica
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Jeffrey Lang (1987)
Compositio Mathematica
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Manohar Madan, Clifford Queen (1972)
Acta Arithmetica
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Gábor Nyul (2002)
Acta Mathematica et Informatica Universitatis Ostraviensis
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P. Elliott (1967)
Acta Arithmetica
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Daniel Shanks, Peter Weinberger (1972)
Acta Arithmetica
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R. Wasén (1976)
Acta Arithmetica
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Ken Yamamura (1997)
Journal de théorie des nombres de Bordeaux
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We determine the structures of the Galois groups Gal of the maximal unramified extensions of imaginary quadratic number fields of conductors under the Generalized Riemann Hypothesis). For all such , is , the Hilbert class field of , the second Hilbert class field of , or the third Hilbert class field of . The use of Odlyzko’s discriminant bounds and information on the structure of class groups obtained by using the action of Galois groups on class groups is essential. We...