### On products in algebraic K-theory, by Dominique Arlettaz, Grzegorz Banaszak, and Wojciech Gajda

This paper investigates the product structure in algebraic K-theory. The
first objective is to understand the relationships between products and the
kernel of the Hurewicz homomorphism relating the algebraic K-theory of any
ring to the integral homology of its linear groups. The second part of the
paper is devoted to the ring of integers Z. Using recent results of
V. Voevodsky and the 2-adic cyclotomic elements, we determine completely the
products in K_*(Z) tensored with the ring of 2-adic integers.

Dominique Arlettaz <dominique.arlettaz@ima.unil.ch>

Grzegorz Banaszak <BANASZAK@math.amu.edu.pl>

Wojciech Gajda <GAJDA@math.amu.edu.pl>