Structure of $Z^2$ modulo selfsimilar sublattices

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dc.creatorCanogar-Mackenzie, Roberto
dc.creatorMartinez-Moro, Edgar
dc.date2001-01-10
dc.date.accessioned2026-07-07T08:18:07Z
dc.date.available2026-07-07T08:18:07Z
dc.descriptionIn this paper we show the combinatorial structure of $\mathbb{Z}^2$ modulo sublattices selfsimilar to $\mathbb{Z}^2$. The tool we use for dealing with this purpose is the notion of association scheme. We classify when the scheme defined by the lattice is imprimitive and characterize its decomposition in terms of the decomposition of the gaussian integer defining the lattice. This arise in the classification of different forms of tiling $\mathbb{Z}^2$ by lattices of this type.
dc.description13 pages, submitted to Theoretical Computer Science
dc.identifierhttps://arxiv.org/abs/math/0101092
dc.identifierhttp://arxiv.org/abs/math/0101092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134326
dc.subjectCombinatorics
dc.subjectInformation Theory
dc.subject05E30;52C20;11H71
dc.titleStructure of $Z^2$ modulo selfsimilar sublattices
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