Random Generation of Thompson's group $F$
Group Theory
2020-11-25 v1
Abstract
We prove that under two natural probabilistic models (studied by Cleary, Elder, Rechnitzer and Taback), the probability that a random pair of elements of Thompson's group generate the entire group is positive. We also prove that for any -generated subgroup of which contains a "natural" copy of , the probability of a random -generated subgroup of coinciding with is positive.
Cite
@article{arxiv.2011.11862,
title = {Random Generation of Thompson's group $F$},
author = {Gili Golan Polak},
journal= {arXiv preprint arXiv:2011.11862},
year = {2020}
}
Comments
15 pages. arXiv admin note: text overlap with arXiv:1611.08264 by other authors