论文标题
跨隔线组的结构
Structure of Cross-wired Lamplighter Groups
论文作者
论文摘要
我们回答了Cornulier，Fisher和Kashyap提出的一个问题，证明了$ \ text {isom}（\ text {dl}（n，n，n））$ of $ \ text {isom}^= isom}^= text {dl}（dl} $ for hh hh hh hh h h hh hh hh hh hh hh hh hh y text {isom}（\ text {dl}（n，n））的封闭式子组$γ$。 d_ \ infty \至1 $拆分，其中$ h $是唯一的开放式正常子组，因此$γ/h \ cong d_ \ infty $。
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 $Γ/H \cong D_\infty$.
