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A Note on Coincidence Isometries of Modules in Euclidean Space

arXiv:0811.3551 · doi:10.1524/zkri.2009.1148

Abstract

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.

8 pages