Relation entre les 2-groupes des classes d'idéaux au sens ordinaire et restreint de certains corps de nombres
Bernard Oriat (1976)
Bulletin de la Société Mathématique de France
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Bernard Oriat (1976)
Bulletin de la Société Mathématique de France
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Thong Nguyen-Quang-Do (1975-1976)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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Daniel Lascar (1980-1982)
Groupe d'étude de théories stables
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Chantal Berline (1980-1982)
Groupe d'étude de théories stables
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Arthur Lannuzel (2002)
Publicacions Matemàtiques
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For an algebraic number field k and a prime number p (if p = 2, we assume that μ ⊂ k), we study the maximal rank ρ of a free pro-p- extension of k. We give various interpretations of 1 + r(k) - ρ. The first uses Iwasawa theory, the second uses the envelope of a module and the third is local-global. These expressions confirm that 1 + r - ρ is related to the torsion of a certain Iwasawa module, hence to the dualizing module of a certain Galois group (under Leopoldt's conjecture). ...
Jean-Louis Koszul (1962-1964)
Séminaire Bourbaki
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Yvette Amice (1970-1971)
Séminaire Bourbaki
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J.-F. Jaulent, T. Nguyen Quang Do (1993)
Journal de théorie des nombres de Bordeaux
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Bruno Deschamps (2001)
Annales mathématiques Blaise Pascal
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