Computation of 2-groups of positive classes of exceptional number fields
Journal de théorie des nombres de Bordeaux, Volume 20 (2008) no. 3, pp. 715-732.

We present an algorithm for computing the 2-group 𝒞 F pos of the positive divisor classes in case the number field F has exceptional dyadic places. As an application, we compute the 2-rank of the wild kernel WK 2 (F) in K 2 (F).

Nous développons un algorithme pour déterminer le 2-groupe 𝒞 F pos des classes positives dans le cas où le corps de nombres considéré F possède des places paires exceptionnelles. Cela donne en particulier le 2-rang du noyau sauvage WK 2 (F).

DOI: 10.5802/jtnb.647
Jean-François Jaulent 1; Sebastian Pauli 2; Michael E. Pohst 3; Florence Soriano–Gafiuk 4

1 Université de Bordeaux Institut de Mathématiques (IMB) 351, Cours de la Libération 33405 Talence Cedex, France
2 University of North Carolina Department of Mathematics and Statistics Greensboro, NC 27402, USA
3 Technische Universität Berlin Institut für Mathematik MA 8-1 Straße des 17. Juni 136 10623 Berlin, Germany
4 Université Paul Verlaine de Metz LMAM Ile du Saulcy 57000 Metz, France
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Jean-François Jaulent; Sebastian Pauli; Michael E. Pohst; Florence Soriano–Gafiuk. Computation of 2-groups of positive classes of exceptional number fields. Journal de théorie des nombres de Bordeaux, Volume 20 (2008) no. 3, pp. 715-732. doi : 10.5802/jtnb.647. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.647/

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