Coincidence Site Modules in 3-Space

  • Authors:

  • Michael Baake;Peter Pleasants;Ulf Rehmann

  • Affiliations:

  • Fakultat fur Mathematik, Universitat Bielefeld, Box 100131, 33501 Bielefeld, Germany;Department of Mathematics, University of Queensland, Brisbane, Queensland 4072, Australia;Fakultat fur Mathematik, Universitat Bielefeld, Box 100131, 33501 Bielefeld, Germany

  • Venue:
  • Discrete & Computational Geometry
  • Year:
  • 2007

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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.