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  The L2-torsion polytope of groups and the integral polytope group

Funke, F. (2018). The L2-torsion polytope of groups and the integral polytope group. PhD Thesis, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-05EE-B Version Permalink: https://hdl.handle.net/21.11116/0000-0009-0080-5
Genre: Thesis

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Funke_The L2-Torsion_2018.pdf (Any fulltext), 813KB
 
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 Creators:
Funke, Florian1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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 Abstract: This 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.

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Language(s): eng - English
 Dates: 2018
 Publication Status: Accepted / In Press
 Pages: 97 p.
 Publishing info: Bonn : Rheinische Friedrich-Wilhelms-Universität Bonn
 Table of Contents: -
 Rev. Type: -
 Identifiers: URN: https://nbn-resolving.org/urn:nbn:de:hbz:5n-49689
 Degree: PhD

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