Some conditions for recognizing a 3-manifold group

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dc.contributor.advisorHempel, Johnen_US
dc.creatorPershell, Karolineen_US
dc.date.accessioned2011-07-25T02:06:00Zen_US
dc.date.available2011-07-25T02:06:00Zen_US
dc.date.issued2010en_US
dc.description.abstractIn this work we ask when a group is a 3-manifold group, or more specifically, when does a group presentation come naturally from a Heegaard diagram for a 3-manifold? We will give some conditions for partial answers to this form of the Isomorphism Problem by addressing how the presentation associated to a diagram for a splitting is related to the fundamental group of a 3-manifold, still using diagrams as a tool to answer these questions. In the process, we determine an invariant of groups (by way of group presentations) for how far such presentations are from 3-manifolds.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS MATH. 2010 PERSHELLen_US
dc.identifier.citationPershell, Karoline. "Some conditions for recognizing a 3-manifold group." (2010) Diss., Rice University. <a href="https://hdl.handle.net/1911/62076">https://hdl.handle.net/1911/62076</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/62076en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectMathematicsen_US
dc.titleSome conditions for recognizing a 3-manifold groupen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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