Glied, Svenja and Baake, Michael
(2008).
| DOI (Digital Object Identifier) Link: | http://doi.org/10.1524/zkri.2008.1054 |
|---|---|
| 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 Article |
|---|---|
| ISSN: | 0044-2968 |
| Academic Unit/Department: | 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: | 02 Aug 2016 13:22 |
| URI: | http://oro.open.ac.uk/id/eprint/14994 |
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