Coincidence site modules in 3-space

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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.
25 pages

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Metric Geometry, Combinatorics, 52C07, 52C23,11H06,11M41

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http://salesiana.dossiersoluciones.com/handle/123456789/146181

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609793
 http://arxiv.org/abs/math/0609793
 Discrete Comput. Geom. 38 (2007) 111-138
 doi:10.1007/s00454-007-1327-6

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arXiv