On the Existence of Similar Sublattices

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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?
7 pages; dedicated to H.S.M. Coxeter

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Combinatorics, Number Theory, 11H06 (52C99)

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http://salesiana.dossiersoluciones.com/handle/123456789/64552

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0207177
 http://arxiv.org/abs/math/0207177
 Canadian J. Math., 51 (1999), 1300-1306

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arXiv