The reviewed record of science sign in
Pith

arxiv: 2210.12951 · v1 · pith:Y7W574ES · submitted 2022-10-24 · math.GR · math.MG

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

Harris Leung , Jeroen Schillewaert , Anne Thomas This is my paper

Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:Y7W574ESrecord.jsonopen to challenge →

classification math.GR math.MG
keywords euclideanbuildingsdimensionalfixed-pointrealisedsetsbuildingcomplete
0
0 comments X
read the original abstract

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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.