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