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Similarity versus coincidence rotations of lattices

Glied, Svenja and Baake, Michael (2008). Similarity versus coincidence rotations of lattices. Zeitschrift für Kristallographie, 223(11-12) pp. 770–772.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1524/zkri.2008.1054
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Abstract

The groups of similarity and coincidence rotations of an arbitrary lattice Γ in d-dimensional Euclidean space are considered. It is shown that the group of similarity rotations contains the coincidence rotations as a normal subgroup. Furthermore, the structure of the corresponding factor group is examined. If the dimension d is a prime number, this factor group is an elementary Abelian d-group. Moreover, if Γ is a rational lattice, the factor group is trivial (d odd) or an elementary Abelian 2-group (d even).

Item Type: Journal Article
ISSN: 0044-2968
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 14994
Depositing User: Uwe Grimm
Date Deposited: 23 Feb 2009 14:11
Last Modified: 02 Dec 2010 20:23
URI: http://oro.open.ac.uk/id/eprint/14994
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