English

Coincidence site modules in 3-space

Metric Geometry 2008-01-19 v1 Combinatorics

Abstract

The coincidence site lattice (CSL) problem and its generalization to Z-modules in Euclidean 3-space is revisited, and various results and conjectures are proved in a unified way, by using maximal orders in quaternion algebras of class number 1 over real algebraic number fields.

Keywords

Cite

@article{arxiv.math/0609793,
  title  = {Coincidence site modules in 3-space},
  author = {Michael Baake and Peter Pleasants and Ulf Rehmann},
  journal= {arXiv preprint arXiv:math/0609793},
  year   = {2008}
}

Comments

25 pages