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Accessibility and JSJ Decompositions of Groups.

dc.contributor.authorVavrichek, Diane M.en_US
dc.date.accessioned2008-08-25T20:54:02Z
dc.date.availableNO_RESTRICTIONen_US
dc.date.available2008-08-25T20:54:02Z
dc.date.issued2008en_US
dc.date.submitteden_US
dc.identifier.urihttps://hdl.handle.net/2027.42/60755
dc.description.abstractIn this dissertation, we present two separate results in geometric group theory. The first is an accessibility result for hyperbolic groups with no 2-torsion. The second result proves the invariance under quasi-isometries of certain vertex groups of the Scott-Swarup JSJ decomposition of one-ended, finitely presented groups.en_US
dc.format.extent1290223 bytes
dc.format.extent1373 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_USen_US
dc.subjectGroup Accessibilityen_US
dc.subjectJSJ Decompositionsen_US
dc.subjectBass-Serre Theoryen_US
dc.titleAccessibility and JSJ Decompositions of Groups.en_US
dc.typeThesisen_US
dc.description.thesisdegreenamePhDen_US
dc.description.thesisdegreedisciplineMathematicsen_US
dc.description.thesisdegreegrantorUniversity of Michigan, Horace H. Rackham School of Graduate Studiesen_US
dc.contributor.committeememberScott, G. Peteren_US
dc.contributor.committeememberBonk, Marioen_US
dc.contributor.committeememberBrown, Charles C.en_US
dc.contributor.committeememberDuren, Peter L.en_US
dc.contributor.committeememberJi, Lizhenen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/60755/1/vavriche_1.pdf
dc.owningcollnameDissertations and Theses (Ph.D. and Master's)


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