Algebraic K-theory of hyperbolic 3-simplex reflection groups
K-Theory and Homology
2009-04-13 v1 Geometric Topology
Abstract
A hyperbolic 3-simplex reflection group is a Coxeter group arising as a lattice in the isometry group of hyperbolic 3-space, with fundamental domain a geodesic simplex (possibly with some ideal vertices). The classification of these groups is known, and there are exactly 9 cocompact examples, and 23 non-cocompact examples. We provide a complete computation of the lower algebraic K-theory of the integral group ring of all the hyperbolic 3-simplex reflection groups.
Cite
@article{arxiv.0705.0844,
title = {Algebraic K-theory of hyperbolic 3-simplex reflection groups},
author = {J. -F. Lafont and I. J. Ortiz},
journal= {arXiv preprint arXiv:0705.0844},
year = {2009}
}