arXiv:math/0609793 Abstract

arXiv:math/0609793 [math.MG]Abstract References Reviews Resources

Coincidence site modules in 3-space

Michael Baake, Peter Pleasants, Ulf Rehmann

Published 2006-09-28Version 1

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.

Comments: 25 pages

Journal: Discrete Comput. Geom. 38 (2007) 111-138

DOI: 10.1007/s00454-007-1327-6

Categories: math.MG, math.CO

Subjects: 52C07, 52C23, 11H06, 11M41

Keywords: coincidence site modules, real algebraic number fields, coincidence site lattice, class number, maximal orders

Tags: journal article

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