Quaternion Orders and Sphere packings
Number Theory
2018-09-10 v2 Group Theory
Metric Geometry
Abstract
We introduce an analog of Bianchi groups for rational quaternion algebras and use it to construct sphere packings that are analogs of the Apollonian circle packing known as integral crystallographic packings.
Cite
@article{arxiv.1708.03405,
title = {Quaternion Orders and Sphere packings},
author = {Arseniy Sheydvasser},
journal= {arXiv preprint arXiv:1708.03405},
year = {2018}
}
Comments
40 pages