Brady, Noel2019-04-272019-04-272008https://hdl.handle.net/11244/318815In this dissertation we obtain upper bounds of second order Dehn functions of lattices of the 3-dimensional geometries Nil and Sol using a variation of the Varopoulos transport argument and handle body diagrams by Buoncristiano, Roarke and Sanderson.83 pagesapplication.pdfIsoperimetric inequalitiesDehn surgery (Topology)Low-dimensional topologyManifolds (Mathematics)text