Geodesic
Hyperbolic groups which fiber in infinitely many ways
Mecham, TaraLee1 ; Mukherjee, Antara2
1Department of Mathematics, College of Mount St. Joseph, 5701 Delhi Road, Cincinnati, Ohio 45233-1670, USA
2Department of Mathematics and Computer Science, The Citadel,, 171 Moultrie St., Charleston, SC 29409, USA
Algebraic and Geometric Topology, Tome 9 (2009) no. 4, pp. 2101-2120
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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.

DOI : 10.2140/agt.2009.9.2101
Keywords: hyperbolic groups, fibering

Mecham, TaraLee  1   ; Mukherjee, Antara  2

1 Department of Mathematics, College of Mount St. Joseph, 5701 Delhi Road, Cincinnati, Ohio 45233-1670, USA
2 Department of Mathematics and Computer Science, The Citadel,, 171 Moultrie St., Charleston, SC 29409, USA 
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Mecham, TaraLee; Mukherjee, Antara. Hyperbolic groups which fiber in infinitely many ways. Algebraic and Geometric Topology, Tome 9 (2009) no. 4, pp. 2101-2120. doi: 10.2140/agt.2009.9.2101

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