On some residual and locally virtual properties of groups

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dc.contributor.advisorReid, Alan W.en
dc.contributor.committeeMemberGordon, Cameronen
dc.contributor.committeeMemberLuecke, Johnen
dc.contributor.committeeMemberAllcock, Danielen
dc.contributor.committeeMemberG�l, Annaen
dc.creatorKaterman, Eric Michaelen
dc.date.accessioned2010-09-21T20:21:01Zen
dc.date.available2010-09-21T20:21:01Zen
dc.date.available2010-09-21T20:21:06Zen
dc.date.issued2010-05en
dc.date.submittedMay 2010en
dc.date.updated2010-09-21T20:21:06Zen
dc.descriptiontexten
dc.description.abstractWe define a strong form of subgroup separability, which we call RS separability, and we use this to combine LERF and Agol’s RFRS condition on groups into a property called LVRSS. We show that some infinite classes of groups that are known to be both subgroup separable and virtually RFRS are also LVRSS. We also provide evidence for the naturalness of RS separability and LVRSS by showing that they are preserved under various operations on groups.en
dc.description.departmentMathematics
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/2152/ETD-UT-2010-05-806en
dc.language.isoengen
dc.subjectGroup theoryen
dc.subjectTopologyen
dc.subjectLERFen
dc.subjectSubgroup separabilityen
dc.subjectLVRSSen
dc.subjectRFRSen
dc.titleOn some residual and locally virtual properties of groupsen
dc.type.genrethesisen
thesis.degree.departmentMathematicsen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorUniversity of Texas at Austinen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophyen

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