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arXiv:0811.3551 [math.MG]AbstractReferencesReviewsResources

A Note on Coincidence Isometries of Modules in Euclidean Space

Christian Huck

Published 2008-11-21Version 1

It is shown that the coincidence isometries of certain modules in Euclidean $n$-space can be decomposed into a product of at most $n$ coincidence reflections defined by their non-zero elements. This generalizes previous results obtained for lattices to situations that are relevant in quasicrystallography.

Comments: 8 pages
Journal: Z. Kristallogr. 224 (2009), 341-344
Categories: math.MG
Subjects: 52C07, 52C23, 11H06, 11R04
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