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Cubulating hyperbolic free-by-cyclic groups: The irreducible case

Accepted version
Peer-reviewed

Repository DOI


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Authors

Hagen, MF 
Wise, DT 

Abstract

Let V be a fi nite graph and let ∅ : V → V be an irreducible train track map whose mapping torus has word-hyperbolic fundamental group G. Then G acts freely and cocompactly on a CAT(0) cube complex. Hence, if F is a finite-rank free group and Φ : F → F an irreducible monomorphism so that G = F∗ᵩ is word-hyperbolic, then G acts freely and cocompactly on a CAT(0) cube complex. This holds in particular if Φ is an irreducible automorphism with G = F ⋊ᵩ Z word-hyperbolic.

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Keywords

4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, 49 Mathematical Sciences

Journal Title

Duke Mathematical Journal

Conference Name

Journal ISSN

0012-7094
1547-7398

Volume Title

Publisher

Duke University Press
Sponsorship
This is based upon work supported by the National Science Foundation under Grant Number NSF 1045119 and by NSERC.