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Z-Structures And Semidirect Products With An Infinite Cyclic Group, Brian Walter Pietsch
Z-Structures And Semidirect Products With An Infinite Cyclic Group, Brian Walter Pietsch
Theses and Dissertations
Z-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.