A Bound for the Torsion in the $K$-Theory of Algebraic Integers
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 $\mathbf Q$, and its absolute discriminant.
2000 Mathematics Subject Classification:
Keywords and Phrases:
Full text: dvi.gz 35 k, dvi 87 k, ps.gz 487 k, pdf 201 k.
Home Page of DOCUMENTA MATHEMATICA