On the existence of similar sublattices

Authors
Conway, JH Rains, EM Sloane, NJA
Citation
Jh. Conway et al., On the existence of similar sublattices, CAN J MATH, 51(6), 1999, pp. 1300-1306
Citations number
18
Categorie Soggetti
Mathematics
Journal title
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
ISSN journal
0008414X → ACNP
Volume
51
Issue
6
Year of publication
1999
Pages
1300 - 1306
Database
ISI
SICI code
0008-414X(199912)51:6<1300:OTEOSS>2.0.ZU;2-W
Abstract
Partial answers are given to two questions. When does a lattice Lambda cont ain a sublattice Lambda' of index N that is geometrically similar to Lambda ? When is the sublattice "clean", in the sense that the boundaries of the V oronoi cells for Lambda' do nor intersect Lambda?