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

Jean-François Jaulent, Sebastian Pauli, Michael E. Pohst, Florence Soriano Gafiuk

• 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 and the 2-rank of its subgroup of infinite height elements in K2(F).