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arXiv · 2602.04839

Distorted and undistorted subgroups of the Lodha-Moore group

Yuya Kodama
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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 $G_0$.

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Yuya Kodama. 2026-02-04. Distorted and undistorted subgroups of the Lodha-Moore group. https://arxiv.org/abs/2602.04839

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