Algebraic & Geometric Topology 9 (2009) 2101–2120

DOI: 10.2140/agt.2009.9.2101

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.

Keywords

hyperbolic groups, fibering

Mathematical Subject Classification

Primary: 20F65

Secondary: 51H99

References

Publication

Received: 20 December 2008
Accepted: 26 July 2009
Published: 21 October 2009

Authors