On the Existence of Similar Sublattices

Details On the Existence of Similar Sublattices On the Existence of Similar Sublattices

2002-07-20

arxiv.org/abs/math/0207177v1

Canadian J. Math., 51 (1999), 1300-1306

Mathematics

Combinatorics

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

Scientific paper

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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