A new invariant of number fields, called group of logarithmic classes, was introduced by J. -F. Jaulent in 1994 [Jaulent 94]. The interest in the arithmetic of logarithmic classes comes from its… (More)

We present an algorithm for computing the 2-group e C` res F 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… (More)

We present an algorithm for computing the 2-group Cl pos F 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… (More)

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