Computation of 2-groups of narrow logarithmic divisor classes of number fields

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 computing the 2-group of narrow logarithmic divisor classes of degree 0 for number fields F. As an application, we compute in some cases the 2-rank of the wild kernel WK2(F).

Domaines: Théorie des nombres [math.NT]

Jean-François Jaulent, Sebastian Pauli, Michael Pohst, Florence Soriano-Gafiuk. Computation of 2-groups of narrow logarithmic divisor classes of number fields. Journal of Symbolic Computation, 2009, 44, pp.852--863. ⟨hal-00202447⟩