A new Algorithm for the Computation of logarithmic l-Class Groups of Number Fields

Francisco Diaz y Diaz (1) , Jean-François Jaulent (1) , Sebastian Pauli (2) , Michael Pohst (3) , Florence Soriano-Gafiuk (4)

1 IMB - Institut de Mathématiques de Bordeaux
2 DMS - Department of Mathematics and Statistics
3 Institut für Mathematik [Berlin]
4 LMAM - Laboratoire de Mathématiques et Applications de Metz

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.

Domaines: Théorie des nombres [math.NT]

Francisco Diaz y Diaz, Jean-François Jaulent, Sebastian Pauli, Michael Pohst, Florence Soriano-Gafiuk. A new Algorithm for the Computation of logarithmic l-Class Groups of Number Fields. Experimental Mathematics, 2005, 14, pp.67--76. ⟨hal-00202456⟩