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.
['Michael Baake', 'Peter A. B. Pleasants', 'Ulf Rehmann']
Coincidence Site Modules in 3-Space