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Computing the signatures of subgroups of non-Euclidean crystallographic groups

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dc.contributor.authorCortázar, Ismael
dc.contributor.authorCosta González, Antonio Félix
dc.date.accessioned2024-05-20T11:47:18Z
dc.date.available2024-05-20T11:47:18Z
dc.date.issued2017
dc.description.abstractA (planar and cocompact) non-Euclidean crystallographic (NEC) group is a subgroup of the group of (conformal and anti-conformal) isometries of the hyperbolic plane H2 such that H2= is compact. NEC groups are classifed alge- braically by a symbol called signature. In this symbol there is a sign + or 􀀀 and, in the case of sign +, some cycles of integers called period-cycles have an essential direction. In 1990 A.H.M. Hoare gives an algorithm to obtain the signature of a nite index subgroup of an NEC group. The process of Hoare fails in some cases in the task of computing the direction of period-cycles. In this work we complete the algorithm of Hoare, this allows us to construct a program for computing the signature of subgroups of NEC groups in all cases.en
dc.description.versionversión publicada
dc.identifier.issn0021-8693
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12554
dc.journal.titleJournal of Algebra
dc.journal.volume477
dc.language.isoen
dc.relation.centerFacultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsAtribución-NoComercial-SinDerivadas 4.0 Internacional
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.titleComputing the signatures of subgroups of non-Euclidean crystallographic groupses
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication8dbf4941-94eb-4e49-a01e-8b9c32463231
relation.isAuthorOfPublication.latestForDiscovery8dbf4941-94eb-4e49-a01e-8b9c32463231
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