A bound for the torsion in the \(K\)-theory of algebraic integers
type: Item
instance of: scholarly article
title: A bound for the torsion in the \(K\)-theory of algebraic integers
zbMATH Open document ID: 1142.11375
published in: Documenta Mathematica
publication date: 2004-01-19T00:00:00Z
full work available at URL: https://eudml.org/doc/129131
full work available at URL: soule.dm.html
review text: Summary: 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 \(\mathbb Q\), and its absolute discriminant.
Mathematics Subject Classification ID: 11R70
Mathematics Subject Classification ID: 19D99
Mathematics Subject Classification ID: 19F27
zbMATH DE Number: 2028850
author: Christophe Soulé
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2028850