We construct examples of , free-by-cyclic, hyperbolic groups which fiber in infinitely many ways over . 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 in infinitely many ways.
"Hyperbolic groups which fiber in infinitely many ways." Algebr. Geom. Topol. 9 (4) 2101 - 2120, 2009. https://doi.org/10.2140/agt.2009.9.2101