The Farrell-Jones Conjecture for hyperbolic-by-cyclic groups

Mladen Bestvina; Koji Fujiwara; Derrick Wigglesworth

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arXiv · 2105.13291

The Farrell-Jones Conjecture for hyperbolic-by-cyclic groups

Mladen Bestvina·Koji Fujiwara·Derrick Wigglesworth

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Abstract

We prove the Farrell-Jones Conjecture for mapping tori of automorphisms of virtually torsion-free hyperbolic groups. The proof uses recently developed geometric methods for establishing the Farrell-Jones Conjecture by Bartels-L\"{u}ck-Reich, as well as the structure theory of mapping tori by Dahmani-Krishna.

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Mladen Bestvina, Koji Fujiwara, Derrick Wigglesworth. 2021-05-27. The Farrell-Jones Conjecture for hyperbolic-by-cyclic groups. https://arxiv.org/abs/2105.13291

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