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arXiv · 0806.1015

Hyperbolic Groups Which Fiber in Infinitely Many Ways

TaraLee Mecham·Antara Mukherjee
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Abstract

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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TaraLee Mecham, Antara Mukherjee. 2008-06-06. Hyperbolic Groups Which Fiber in Infinitely Many Ways. https://doi.org/10.2140/agt.2009.9.2101

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