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15 June 2016 Cubulating hyperbolic free-by-cyclic groups: The irreducible case
Mark F. Hagen, Daniel T. Wise
Duke Math. J. 165(9): 1753-1813 (15 June 2016). DOI: 10.1215/00127094-3450752

Abstract

Let V be a finite graph, and let ϕ:VV 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 if Φ:FF is an irreducible monomorphism so that G=FΦ 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=FΦZ word-hyperbolic.

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Mark F. Hagen. Daniel T. Wise. "Cubulating hyperbolic free-by-cyclic groups: The irreducible case." Duke Math. J. 165 (9) 1753 - 1813, 15 June 2016. https://doi.org/10.1215/00127094-3450752

Information

Received: 8 November 2013; Revised: 17 August 2015; Published: 15 June 2016
First available in Project Euclid: 24 March 2016

zbMATH: 06603541
MathSciNet: MR3320891
Digital Object Identifier: 10.1215/00127094-3450752

Subjects:
Primary: 20F65
Secondary: 57M20

Rights: Copyright © 2016 Duke University Press

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Vol.165 • No. 9 • 15 June 2016
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