Un facteur direct canonique de la K-theorie d'anneaux d'entiers algebriques non exceptionnels., by hinda hamraoui

Let R be a ring of algebraic integers, non-exceptional in the sense of [4]. Harris and Segal have given in [4] residue fields k of R such that the canonical morphism from BGL(R)^+ to BGL(k)^+ has homotopy sections after localisation at 2. In [1], Dwyer, Friedlander and Mitchell proved that Harris-Segal sections are homotopic if sqrt(-1) is in R. In this note, we extend this result to the case where sqrt(-1) is not in R.

hinda hamraoui <hamraoui@facsc-achok.ac.ma>