Publicación: Computing the signatures of subgroups of non-Euclidean crystallographic groups
dc.contributor.author | Cortázar, Ismael | |
dc.contributor.author | Costa González, Antonio Félix | |
dc.date.accessioned | 2024-05-20T11:47:18Z | |
dc.date.available | 2024-05-20T11:47:18Z | |
dc.date.issued | 2017 | |
dc.description.abstract | A (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.version | versión publicada | |
dc.identifier.issn | 0021-8693 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14468/12554 | |
dc.journal.title | Journal of Algebra | |
dc.journal.volume | 477 | |
dc.language.iso | en | |
dc.relation.center | Facultad de Ciencias | |
dc.relation.department | Matemáticas Fundamentales | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0 | |
dc.title | Computing the signatures of subgroups of non-Euclidean crystallographic groups | es |
dc.type | journal article | en |
dc.type | artículo | es |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 8dbf4941-94eb-4e49-a01e-8b9c32463231 | |
relation.isAuthorOfPublication.latestForDiscovery | 8dbf4941-94eb-4e49-a01e-8b9c32463231 |
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