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The L2-Torsion Polytope of Groups and the Integral Polytope Group

dc.contributor.advisorLück, Wolfgang
dc.contributor.authorFunke, Florian
dc.date.accessioned2020-04-24T23:16:14Z
dc.date.available2020-04-24T23:16:14Z
dc.date.issued24.01.2018
dc.identifier.urihttps://hdl.handle.net/20.500.11811/7496
dc.description.abstractThis thesis contains three projects revolving around the L2-torsion polytope. First we show that the L2-torsion polytope of infinite elementary amenable groups vanishes. Then we establish a link between the L2-torsion polytope and the Bieri-Neumann-Strebel invariant for a particular class of free-by-cyclic groups. We finally investigate the integral polytope group as this is the place where the L2-torsion polytope takes values in.en
dc.language.isoeng
dc.rightsIn Copyright
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectTopologie
dc.subjectGruppentheorie
dc.subjectL²-Invarianten
dc.subjectBieri-Neumann-Strebel-Invariante
dc.subjectThurston-Norm
dc.subject.ddc510 Mathematik
dc.titleThe L2-Torsion Polytope of Groups and the Integral Polytope Group
dc.typeDissertation oder Habilitation
dc.publisher.nameUniversitäts- und Landesbibliothek Bonn
dc.publisher.locationBonn
dc.rights.accessRightsopenAccess
dc.identifier.urnhttps://nbn-resolving.org/urn:nbn:de:hbz:5n-49689
ulbbn.pubtypeErstveröffentlichung
ulbbnediss.affiliation.nameRheinische Friedrich-Wilhelms-Universität Bonn
ulbbnediss.affiliation.locationBonn
ulbbnediss.thesis.levelDissertation
ulbbnediss.dissID4968
ulbbnediss.date.accepted22.01.2018
ulbbnediss.instituteMathematisch-Naturwissenschaftliche Fakultät : Fachgruppe Mathematik / Mathematisches Institut
ulbbnediss.fakultaetMathematisch-Naturwissenschaftliche Fakultät
dc.contributor.coRefereeFriedl, Stefan


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