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Hyperbolic polygons and NEC groups

dc.contributor.authorEtayo Gordejuela, José Javier
dc.contributor.authorMartínez, Ernesto
dc.date.accessioned2023-06-20T16:54:32Z
dc.date.available2023-06-20T16:54:32Z
dc.date.issued1988
dc.description.abstractBeardon gave a procedure for constructing a polygon with prescribed angles. For each ordered set of angles Beardon's polygon is unique up to congruence. The polygon obtained this way has an inscribed circle. It is possible to obtain by means of these polygons a fundamental region for a non-Euclidean crystallographic (NEC) group with a given signature having equal angles in each of the cycles. In [5] the minimal number of sides of a convex fundamental region of an NEC group is calculated, and regions are explicitly obtained achieving the bound.en
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/15768
dc.identifier.doi10.1017/S0305004100065439
dc.identifier.issn0305-0041
dc.identifier.officialurlhttps//doi.org/10.1017/S0305004100065439
dc.identifier.relatedurlhttp://journals.cambridge.org/abstract_S0305004100065439
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57395
dc.journal.titleMathematical Proceedings of the Cambridge Philosophical Society
dc.language.isoeng
dc.page.final272
dc.page.initial261
dc.publisherCambridge University Press
dc.rights.accessRightsrestricted access
dc.subject.cdu512.7
dc.subject.keywordModuli of Riemann surfaces
dc.subject.keywordTeichmüller theory
dc.subject.keywordStructure of modular groups and generalizations
dc.subject.keywordArithmetic groups
dc.subject.keywordRiemann surfaces
dc.subject.keywordHyperbolic and elliptic geometries (general) and generalizations
dc.subject.keywordTopology of E 2
dc.subject.keyword2 -manifolds
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleHyperbolic polygons and NEC groupsen
dc.typejournal article
dc.volume.number104
dspace.entity.typePublication
relation.isAuthorOfPublication2275e5ec-53a7-4e0f-82d6-517cdf4cd56c
relation.isAuthorOfPublication.latestForDiscovery2275e5ec-53a7-4e0f-82d6-517cdf4cd56c

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