Year: 2022
Type: preprint
Abstract: We answer a question posed by Cornulier, Fisher, and Kashyap, proving that for a closed cocompact subgroup $Γ$ of $\text{Isom}(\text{DL}(n, n))$ not contained in $\text{Isom}^+(\text{DL}(n, n))$, the sequence $1 \to H \to Γ\to D_\infty \to 1$ splits, where $H$ is the unique open normal subgroup such that $Γ/H \cong D_\infty$.
Source: arXiv (Cornell University)
Author: Jeffers, Benjamin L.
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4295356140