Invariantes aritméticos em geometria hiperbólica

dc.contributorHeleno da Silva Cunha
dc.contributorNikolai Alexandrovitch Goussevskii
dc.contributorFrancisco Dutenhefner
dc.creatorVictor Mielly Oliveira Batista
dc.date.accessioned2019-08-13T15:01:05Z
dc.date.accessioned2022-10-03T23:53:24Z
dc.date.available2019-08-13T15:01:05Z
dc.date.available2022-10-03T23:53:24Z
dc.date.created2019-08-13T15:01:05Z
dc.date.issued2014-07-23
dc.identifierhttp://hdl.handle.net/1843/EABA-9MFJ3C
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/3829538
dc.description.abstractIn this dissertation we study some important arithmetic invariants associated with three-dimensional hyperbolic manifolds. They are the trace fields, invariant trace fields and the quaternions algebra. Well studied in particular Kleinian groups of finite covolume and find that your invariant trace field is a finite extension of the rational numbers. Wehave also developed the study of these invariants applied more generally to any nonelementary finitely generated subgroup of PSL(2;C).
dc.publisherUniversidade Federal de Minas Gerais
dc.publisherUFMG
dc.rightsAcesso Aberto
dc.subjectGrupos kleinianos
dc.subjectGeometria hiperbólica
dc.subjectCorpo de traços
dc.titleInvariantes aritméticos em geometria hiperbólica
dc.typeDissertação de Mestrado


Este ítem pertenece a la siguiente institución