Glied, Svenja and Baake, Michael
(2008).
DOI (Digital Object Identifier) Link: | https://doi.org/10.1524/zkri.2008.1054 |
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Google Scholar: | Look up in Google Scholar |
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 Item |
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ISSN: | 0044-2968 |
Academic Unit/School: | Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics Faculty of Science, Technology, Engineering and Mathematics (STEM) |
Item ID: | 14994 |
Depositing User: | Uwe Grimm |
Date Deposited: | 23 Feb 2009 14:11 |
Last Modified: | 04 Oct 2016 10:19 |
URI: | http://oro.open.ac.uk/id/eprint/14994 |
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