Hyperbolic tessellations and generators of ${K}_{\textbf {3}}$ for imaginary quadratic fields

We develop methods for constructing explicit generators, modulo torsion, of the $K_3$-groups of imaginary quadratic number fields. These methods are based on either tessellations of hyperbolic $3$-space or on direct calculations in suitable pre-Bloch groups and lead to the very first proven examples...

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Bibliographic Details

Published in:	Forum of Mathematics, Sigma
Main Authors:	David Burns, Rob de Jeu, Herbert Gangl, Alexander D. Rahm, Dan Yasaki
Format:	Article
Language:	English
Published:	Cambridge University Press 2021-01-01
Subjects:	11G55 11R70 19F27 19D45 11R42 20H20 51M20
Online Access:	https://www.cambridge.org/core/product/identifier/S2050509421000098/type/journal_article