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arxiv: math/0207177 · v1 · submitted 2002-07-20 · 🧮 math.CO · math.NT

On the Existence of Similar Sublattices

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keywords lambdasimilarsublatticewhenanswersboundarycellsclean
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Partial answers are given to two questions. When does a lattice Lambda contain a sublattice Lambda' of index N that is geometrically similar to Lambda? When is the sublattice "clean", in the sense that the boundary of the Voronoi cells for Lambda ' do not intersect Lambda?

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