On the Existence of Similar Sublattices
Combinatorics
2007-05-23 v1 Number Theory
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?
Cite
@article{arxiv.math/0207177,
title = {On the Existence of Similar Sublattices},
author = {J. H. Conway and E. M. Rains and N. J. A. Sloane},
journal= {arXiv preprint arXiv:math/0207177},
year = {2007}
}
Comments
7 pages; dedicated to H.S.M. Coxeter