Two-primary algebraic K-theory of some quadratic and cyclotomic number rings, by John Rognes and Paul Arne Østvær

We explicitly calculate all the 2-primary higher algebraic K-groups of the rings of integers of all `simple' real or imaginary quadratic number fields, or cyclotomic number fields, or their maximal real subfields. Here `simple' means that (2) does not split in the number field, and suitable Picard groups are assumed to have odd order.


John Rognes <rognes@math.uio.no>
Paul Arne Østvær <paularne@math.uio.no>