The Farrell–Jones Conjecture for Hyperbolic-by-Cyclic Groups-Reference-Cited by-同舟云学术

The Farrell–Jones Conjecture for Hyperbolic-by-Cyclic Groups

Published:2022-02-27 Issue:7 Volume:2023 Page:5887-5904
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Bestvina Mladen¹,Fujiwara Koji²,Wigglesworth Derrick³

Affiliation:

1. Department of Mathematics, University of Utah , 155 S. 1400 E. Salt Lake City, UT 84112, USA

2. Department of Mathematics, Kyoto University , Kyoto 606-8502, Japan

3. Department of Mathematical Sciences, University of Arkansas , 309 SCEN, Fayetteville, AR 72703, USA

Abstract

Abstract We prove the Farrell–Jones conjecture (FJC) for mapping tori of automorphisms of virtually torsion-free hyperbolic groups. The proof uses recently developed geometric methods for establishing the FJC by Bartels–Lück–Reich, as well as the structure theory of mapping tori by Dahmani–Krishna.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2023/7/5887/49605910/rnac012.pdf

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