Complete Hyperbolic Lattices Derived From Tessellations Of Type {4g, 4g}

dc.creatorQueiroz
dc.creatorCatia Quilles; Benedito
dc.creatorCintya W.; Interlando
dc.creatorJ. Carmelo; Palazzo
dc.creatorReginaldo
dc.date2016
dc.dateout
dc.date2017-11-13T13:55:22Z
dc.date2017-11-13T13:55:22Z
dc.date.accessioned2018-03-29T06:08:51Z
dc.date.available2018-03-29T06:08:51Z
dc.identifierJournal Of Algebra And Its Applications . World Scientific Publ Co Pte Ltd, v. 15, p. , 2016.
dc.identifier0219-4988
dc.identifier1793-6829
dc.identifierWOS:000382167300019
dc.identifier10.1142/S0219498816501577
dc.identifierhttp://www.worldscientific.com/doi/abs/10.1142/S0219498816501577
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/329634
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1366659
dc.descriptionRegular tessellations of the hyperbolic plane play an important role in the design of signal constellations for digital communication systems. Self-dual tessellations of type {4g, 4g} with g = 2(n), 3 . 2(n), and 5 . 2(n) have been considered where the corresponding arithmetic Fuchsian groups are derived from quaternion orders over quadratic extensions of the rational. The objectives of this work are to establish the maximal orders derived from {4g, 4g} tessellations for which the hyperbolic lattices are complete (the motivation for constructing complete hyperbolic lattices is their application to the design of hyperbolic lattice codes), and to identify the arithmetic Fuchsian group associated with a quaternion algebra and a quaternion order.
dc.description15
dc.description8
dc.languageEnglish
dc.publisherWorld Scientific Publ CO PTE LTD
dc.publisherSingapore
dc.relationJournal of Algebra and its Applications
dc.rightsfechado
dc.sourceWOS
dc.subjectHyperbolic Geometry
dc.subjectArithmetic Fuchsian Group
dc.subjectQuaternion Order
dc.titleComplete Hyperbolic Lattices Derived From Tessellations Of Type {4g, 4g}
dc.typeArtículos de revistas


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