A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2022; you can also visit the original URL.
The file type is
Local-to-Global-rigidity of lattices in SL n (𝕂)
Annales de l'Institut Fourier
A vertex-transitive graph G is called Local-to-Global rigid if there exists R > 0 such that every other graph whose balls of radius R are isometric to the balls of radius R in G is covered by G. An example of such a graph is given by the Bruhat-Tits building of P SLn(K) with n 4 and K a non-Archimedean local field of characteristic zero. In this paper we extend this rigidity property to a class of graphs quasi-isometric to the building including torsion-free lattices of SLn(K). The proof is thedoi:10.5802/aif.3490 fatcat:jq7b2vw7zje2znzilfaaggyscm