A New Algorithm for the Computation of Logarithmic l-Class Groups of Number Fields

Francisco Diaz Y Diaz Laboratoire A2X, Université Bordeaux I, 351 Cours de la Libération, 33405 Talence Cedex, France

Jean-François Jaulent Institut des Mathématiques de Bordeaux, Université Bordeaux I, 351 Cours de la Libération, 33405 Talence Cedex, France

Sebastian Pauli Institut für Mathematik - MA 8-1, Technische Universität Berlin, Straße des 17. Juni 136, 10623 Berlin, Germany

Michael Pohst Institut für Mathematik - MA 8-1, Technische Universität Berlin, Straße des 17. Juni 136, 10623 Berlin, Germany

Florence Soriano-Gafiuk Département de Mathématiques, Université de Metz, Ile du Saulcy, 57045 Metz, France

Abstract

We present an algorithm for the computation of logarithmic l- class groups of number fields. Our principal motivation is the effective determination of the l-rank of the wild kernel in the K-theory of number fields.

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A New Algorithm for the Computation of Logarithmic l-Class Groups of Number Fields

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A New Algorithm for the Computation of Logarithmic l-Class Groups of Number Fields

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