A bound for the torsion in the K-theory of algebraic integers, by Christophe Soulé

Let m be an integer bigger than one, A a ring of algebraic integers, F its fraction field, and K_m (A) the m-th Quillen K-group of A. We give a (huge) explicit bound for the order of the torsion subgroup of K_m (A) (up to small primes), in terms of m, the degree of F over Q, and its absolute discriminant.


Christophe Soulé <soule@ihes.fr>