On two-primary algebraic K-theory of quadratic number rings with focus on K_2., by Marius Crainic and Paul Arne Ostvaer

We give explicit formulas for the 2-rank of the algebraic K-groups of quadratic number rings. A 4-rank formula given by Boldy for K_2 provides more information concerning the two-primary structure of these K-groups. We give several examples to illustrate this. As a final effort we lift the K_2 calculations to higher K-groups.

This paper has appeared in Acta Arith. 87 (1999) 223-243.


Marius Crainic <crainic@math.ruu.nl>
Paul Arne Ostvaer <paularne@math.uio.no>