Hyperbolic Groups Which Fiber in Infinitely Many Ways
Group Theory
2014-11-11 v2 Geometric Topology
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.
Cite
@article{arxiv.0806.1015,
title = {Hyperbolic Groups Which Fiber in Infinitely Many Ways},
author = {TaraLee Mecham and Antara Mukherjee},
journal= {arXiv preprint arXiv:0806.1015},
year = {2014}
}
Comments
18 pages, 8 figures