Virtual Geometricity is Rare
Group Theory
2019-02-20 v3 Geometric Topology
Abstract
We present the results of computer experiments suggesting that the probability that a random multiword in a free group is virtually geometric decays to zero exponentially quickly in the length of the multiword. We then prove this fact.
Cite
@article{arxiv.1407.7834,
title = {Virtual Geometricity is Rare},
author = {Christopher H. Cashen and Jason F. Manning},
journal= {arXiv preprint arXiv:1407.7834},
year = {2019}
}
Comments
8 pages, 2 figures v2 adds a link to the computer scripts used in the paper; v3 13pages, to appear in LMS Journal of Computation and Mathematics