Coincidence site modules in 3-space
Michael Baake, Peter Pleasants, Ulf Rehmann
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.
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