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

Funke, Florian

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

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Funke, Florian
Max Planck Institute for Mathematics, Max Planck Society;

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https://hdl.handle.net/20.500.11811/7496
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Funke, F. (2018). The L²-torsion polytope of groups and the integral polytope group. PhD Thesis, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn.

Cite as: https://hdl.handle.net/21.11116/0000-0004-05EE-B

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.