English

Computation of 2-groups of positive classes of exceptional number fields

Number Theory 2008-01-10 v1

Abstract

We present an algorithm for computing the 2-group of the positive divisor classes of a number field F in case F has exceptional dyadic places. As an application, we compute the 2-rank of the wild kernel WK2(F) in K2(F) for such number fields.

Keywords

Cite

@article{arxiv.0801.1367,
  title  = {Computation of 2-groups of positive classes of exceptional number fields},
  author = {Jean-François Jaulent and Sebastian Pauli and Michael Pohst and Florence Soriano-Gafiuk},
  journal= {arXiv preprint arXiv:0801.1367},
  year   = {2008}
}