Partial answers are given to two questions. When does a lattice Λ contain a sublattice Λ′ 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 Λ′ do not intersect Λ?
CITATION STYLE
Conway, J. H., Rains, E. M., & Sloane, N. J. A. (1999). On the existence of similar sublattices. Canadian Journal of Mathematics, 51(6), 1300–1306. https://doi.org/10.4153/CJM-1999-059-5
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