On the torsion part in the K-theory of imaginary quadratic fields

2015/04/08 by Vincent Emery, Emery, Vincent
Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1504.01912

Abstract

We obtain upper bounds for the torsion in the K-groups of the ring of integers of imaginary quadratic number fields, in terms of their discriminants.

Related

• Statistics of K-groups modulo p for the ring of integers of a varying quadratic number field
• Quadratic fields with a class group of large 3-rank
• Growth of Odd Torsion Over Imaginary Quadratic Fields of Class Number 1
• ℓ-Torsion in Class Groups via Dirichlet L-functions
• On the cohomology of linear groups over imaginary quadratic fields