论文标题
二维欧几里得建筑物中的定点集之间的距离已实现
Distances between fixed-point sets in 2-dimensional Euclidean buildings are realised
论文作者
论文摘要
我们证明，如果两个有限生成的组作用于指标完整的二维欧几里得建筑，那么实现了其定点组之间的距离。我们的证明使用了欧几里得建筑物的几何形状，我们将其视为猫（0）空间，以及欧几里得建筑物的超能特性。
We prove that if two finitely generated groups act on a metrically complete 2-dimensional Euclidean building, then the distance between their fixed-point sets is realised. Our proof uses the geometry of Euclidean buildings, which we view as CAT(0) spaces, and properties of ultrapowers of Euclidean buildings.
