Z-Structures and Semidirect Products with an Infinite Cyclic Group

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dc.contributor.advisorCraig Guilbault
dc.contributor.committeememberChris Hruska
dc.contributor.committeememberBoris Okun
dc.contributor.committeememberPeter Hinow
dc.contributor.committeememberBruce Wade
dc.creatorPietsch, Brian Walter
dc.date.accessioned2025-01-16T18:10:48Z
dc.date.available2025-01-16T18:10:48Z
dc.date.issued2018-08-01
dc.description.abstractZ-structures were originally formulated by Bestvina in order to axiomatize the properties that an ideal group boundary should have. In this dissertation, we prove that if a given group admits a Z-structure, then any semidirect product of that group with an infinite cyclic group will also admit a Z-structure. We then show how this can be applied to 3-manifold groups and strongly polycyclic groups.
dc.identifier.urihttp://digital.library.wisc.edu/1793/86265
dc.relation.replaceshttps://dc.uwm.edu/etd/1897
dc.subject3-manifold
dc.subjectgroup boundary
dc.subjectsemidirect product
dc.subjectstrongly polycyclic
dc.subjectZ-structure
dc.titleZ-Structures and Semidirect Products with an Infinite Cyclic Group
dc.typedissertation
thesis.degree.disciplineMathematics
thesis.degree.grantorUniversity of Wisconsin-Milwaukee
thesis.degree.nameDoctor of Philosophy

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