Gromov Conjecture on Surface Subgroups: Computational Experiments

Details Gromov Conjecture on Surface Subgroups: Computational Experiments Gromov Conjecture on Surface Subgroups: Computational Experiments

2010-01-09

arxiv.org/abs/1001.1460v1

Mathematics

Group Theory

11 pages amsLaTeX, no figures

Scientific paper

In this paper we investigate Gromov's question: whether every one-ended word
hyperbolic group contains a surface subgroup. The case of double groups is
considered by studying the associated one relator groups. We show that the
majority (96%) of the randomly selected double groups with three generators
have the property. The experiments are performed on MAGMA software.

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