Hyperbolic Groups Which Fiber in Infinitely Many Ways

Details Hyperbolic Groups Which Fiber in Infinitely Many Ways Hyperbolic Groups Which Fiber in Infinitely Many Ways

2008-06-05

arxiv.org/abs/0806.1015v2

Mathematics

Group Theory

18 pages, 8 figures

Scientific paper

We construct examples of 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
hyperbolic, free-by-cyclic and can be mapped onto Z in infinitely many ways.

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