论双子建筑格构的变形
On the distortion of twin building lattices
摘要：
我们表明，孪生建筑晶格是不失真的环境组，相当于，轨道映射的晶格的产品相关的孪生建筑物是一个准等距嵌入。作为结果，我们提供了这些格的拟平坦秩的估计，这意味着有无穷多个拟等距类的非线性呈现单群。在附录中，我们描述了如何非扭曲的晶格是相关的结构上循环的可积性。
英文摘要：
We show that twin building lattices are undistorted in their ambient group; equivalently, the orbit map of the lattice to the product of the associated twin buildings is a quasi-isometric embedding. As a consequence, we provide an estimate of the quasi-flat rank of these lattices, which implies that there are infinitely many quasi-isometry classes of finitely presented simple groups. In an appendix, we describe how non-distortion of lattices is related to the integrability of the structural cocycle.
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。
