Strongly transitive actions on euclidean buildings |
| |
Authors: | Linus Kramer Jeroen Schillewaert |
| |
Institution: | 1.Mathematisches Institut,Universit?t Münster,Münster,Germany |
| |
Abstract: | We prove a decomposition result for a group G acting strongly transitively on the Tits boundary of a Euclidean building. As an application we provide a local to global result for discrete Euclidean buildings, which generalizes results in the locally compact case by Caprace–Ciobotaru and Burger–Mozes. Let X be a Euclidean building without cone factors. If a group G of automorphisms of X acts strongly transitively on the spherical building at infinity ?X, then the G-stabilizer of every affine apartment in X contains all reflections along thick walls. In particular G acts strongly transitively on X if X is simplicial and thick. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|