## Algebraic & Geometric Topology

### Hyperbolic groups which fiber in infinitely many ways

#### Abstract

We construct examples of $CAT(0)$, free-by-cyclic, hyperbolic groups which fiber in infinitely many ways over $ℤ$. The construction involves adding a specialized square 2–cell to a non-positively curved, squared 2–complex defined by labeled oriented graphs. The fundamental groups of the resulting complexes are $CAT(0)$, hyperbolic, free-by-cyclic and can be mapped onto $ℤ$ in infinitely many ways.

#### Article information

Source
Algebr. Geom. Topol., Volume 9, Number 4 (2009), 2101-2120.

Dates
Accepted: 26 July 2009
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.agt/1513797078

Digital Object Identifier
doi:10.2140/agt.2009.9.2101

Mathematical Reviews number (MathSciNet)
MR2551664

Zentralblatt MATH identifier
1223.20036

Keywords
hyperbolic groups fibering

#### Citation

Mecham, TaraLee; Mukherjee, Antara. Hyperbolic groups which fiber in infinitely many ways. Algebr. Geom. Topol. 9 (2009), no. 4, 2101--2120. doi:10.2140/agt.2009.9.2101. https://projecteuclid.org/euclid.agt/1513797078

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