Geodesic
A bound for the torsion in the $K$-theory of algebraic integers
Documenta mathematica, Kazuya Kato's Fiftieth Birthday (2003), pp. 761-788.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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 $\Bbb Q$, and its absolute discriminant.
Classification : 11R70, 19D99, 19F27 
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     author = {Soul\'e, Christophe},
     title = {A bound for the torsion in the $K$-theory of algebraic integers},
     journal = {Documenta mathematica},
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     volume = {Kazuya Kato's Fiftieth Birthday},
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Soulé, Christophe. A bound for the torsion in the $K$-theory of algebraic integers. Documenta mathematica, Kazuya Kato's Fiftieth Birthday (2003), pp. 761-788. http://geodesic.mathdoc.fr/item/DOCMA_2003__S6__a3/