Distances between fixed-point sets in 2-dimensional Euclidean buildings are realised

Autor:	Leung, Harris, Schillewaert, Jeroen, Thomas, Anne
Rok vydání:	2022
Předmět:	Mathematics - Group Theory Mathematics - Metric Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: 8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.12951 Zobrazit plný text záznamu View this record from Arxiv