What is a superrigid subgroup?

dc.creatorMorris, Dave Witte
dc.date2007-12-14
dc.date.accessioned2026-07-07T08:49:16Z
dc.date.available2026-07-07T08:49:16Z
dc.descriptionThis is an expository paper. It is well known that a linear transformation can be defined to have any desired action on a basis. From this fact, one can show that every group homomorphism from Z^k to R^d extends to a homomorphism from R^k to R^d, and we will see other examples of discrete subgroups H of connected groups G, such that the homomorphisms defined on $H$ can ("almost") be extended to homomorphisms defined on all of G. This is related to a very classical topic in geometry, the study of linkages.
dc.description18 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0712.2299
dc.identifierhttp://arxiv.org/abs/0712.2299
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144239
dc.subjectHistory and Overview
dc.subjectMetric Geometry
dc.titleWhat is a superrigid subgroup?
dc.typetext

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