The Discrete Logarithm in Logarithmic -Class Groups and Its Applications in K-theory

We present an algorithm for the computation of the discrete logarithm in logarithmic -Class Groups. This is applied to the calculation to the -rank of the wild kernel WK2 of a number field F and in the determination of generators of the -part of WK2(F).

• Type: Conference
• Year: 2004
• Where: ANTS
• Authors: Sebastian Pauli, Florence Soriano-Gafiuk
• Keywords: Algorithms, ANTS 2004, Discrete Logarithm, Logarithmic -class Groups, Wild Kernel