On the Existence of Similar Sublattices
- 1 December 1999
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 51 (6) , 1300-1306
- https://doi.org/10.4153/cjm-1999-059-5
Abstract
Partial answers are given to two questions. When does a lattice Λ contain a sublattice Λʹ of index N that is geometrically similar to Λ? When is the sublattice “clean”, in the sense that the boundaries of the Voronoi cells for Λʹ do not intersect Λ?Keywords
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