On the Existence of Similar Sublattices
arXiv:math/0207177
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?
7 pages; dedicated to H.S.M. Coxeter