Gromov Conjecture on Surface Subgroups: Computational Experiments
Group Theory
2013-02-19 v1 Metric Geometry
Abstract
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.
Cite
@article{arxiv.1001.1460,
title = {Gromov Conjecture on Surface Subgroups: Computational Experiments},
author = {Anastasia V. Kisil},
journal= {arXiv preprint arXiv:1001.1460},
year = {2013}
}
Comments
11 pages amsLaTeX, no figures