A bound for the torsion in the \(K\)-theory of algebraic integers (Q1419626)
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scientific article; zbMATH DE number 2028850
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A bound for the torsion in the \(K\)-theory of algebraic integers |
scientific article; zbMATH DE number 2028850 |
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A bound for the torsion in the \(K\)-theory of algebraic integers (English)
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19 January 2004
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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.
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