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On the Existence of Similar Sublattices

J. H. Conway·E. M. Rains·N. J. A. Sloane
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Abstract

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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J. H. Conway, E. M. Rains, N. J. A. Sloane. 2002-07-20. On the Existence of Similar Sublattices. https://arxiv.org/abs/math/0207177

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