Distorted and undistorted subgroups of the Lodha-Moore group
Abstract
We show that the Baumslag-Solitar group $BS(1,2)$ is undistorted in the Lodha-Moore group $G_0$ using an explicit lower bound for the word length of $G_0$. We also show that Thompson's group $F$ is distorted in $G_0$.
Fields of Study & Subjects
Geometric and Algebraic Topology
Finite Group Theory Research
Mathematics and Applications
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 4 February 2026
- Document type
- Preprint