The field descent and class groups of CM-fields
Bernhard Schmidt (2005)
Acta Arithmetica
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Bernhard Schmidt (2005)
Acta Arithmetica
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Armand Borel, Gopal Prasad (1990)
Publications Mathématiques de l'IHÉS
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Mathematische Zeitschrift
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Open Mathematics
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George Tomanov (1990)
Mathematische Annalen
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Acta Arithmetica
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Young-Ho Park (2002)
Acta Arithmetica
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Franz Lemmermeyer (2008)
Acta Arithmetica
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Manohar L. Madan (1976/77)
Mathematische Zeitschrift
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Yu Chen (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Jack Ohm (1989)
Journal de théorie des nombres de Bordeaux
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Some results and problems that arise in connection with the foundations of the theory of ruled and rational field extensions are discussed.
Robert Steinberg (1972-1973)
Séminaire Bourbaki
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Stefan Barańczuk (2015)
Bulletin of the Polish Academy of Sciences. Mathematics
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A result on the orders of the reductions of an element of the group of S-units of a number field is obtained by investigating three height functions for groups of S-units of number fields which are analogous to local, global and canonical height functions for elliptic curves.