Abstract
Let V be a finite graph, and let ϕ: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 if Φ:F→F is 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⋊ΦZ word-hyperbolic.
Original language | English |
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Pages (from-to) | 1753-1813 |
Number of pages | 61 |
Journal | Duke Mathematical Journal |
Volume | 165 |
Issue number | 9 |
Early online date | 24 Mar 2016 |
DOIs | |
Publication status | Published - 15 Jun 2016 |
Keywords
- math.GR