On finite index subgroups of a universal group

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dc.creatorBrumfiel, G.
dc.creatorHilden, H.
dc.creatorLozano, M. T.
dc.creatorMontesinos--Amilibia, J. M.
dc.creatorRamirez--Losada, E.
dc.creatorShort, H.
dc.creatorTejada, D.
dc.creatorToro, D.
dc.date2007-10-31
dc.date.accessioned2026-07-07T08:39:41Z
dc.date.available2026-07-07T08:39:41Z
dc.descriptionThe orbifold group of the Borromean rings with singular angle 90 degrees, $U$, is a universal group, because every closed oriented 3--manifold $M^{3}$ occurs as a quotient space $M^{3} = H^{3}/G$, where $G$ is a finite index subgroup of $U$. Therefore, an interesting, but quite difficult problem, is to classify the finite index subgroups of the universal group $U$. One of the purposes of this paper is to begin this classification. In particular we analyze the classification of the finite index subgroups of $U$ that are generated by rotations.
dc.description15 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/0710.5835
dc.identifierhttp://arxiv.org/abs/0710.5835
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141160
dc.subjectGeometric Topology
dc.subject57M12, 57M25, 57M50, 57M60
dc.titleOn finite index subgroups of a universal group
dc.typetext

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