SOL及其它可解群中的不可求长Delone集
Non-rectifiable Delone sets in SOL and other solvable groups
摘要：
给定一个格点$Γ\subset SOL$，我们证明了存在一个粗稠密子集$\mathcal{D} \subset Γ$，它不是等价于$Γ$的biLipschitz。我们也证明了类似的结果，格在某些较高的秩交换的阿贝尔群和可解的Baumslag-Solitar群。
英文摘要：
Given a lattice $Γ\subset SOL$, we show that there is a coarsely dense subset $\mathcal{D} \subset Γ$ that is not biLipschitz equivalent to $Γ$. We also prove similar results for lattices in certain higher rank abelian-by-abelian groups and for the solvable Baumslag-Solitar groups.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
