Virtual Geometricity is Rare
arXiv:1407.7834 · doi:10.1112/S1461157015000108
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.
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