Large scale geometry of automorphism groups

2014/02/22 by Christian Rosendal, Rosendal, Christian
Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO) #Mathematical and Theoretical Analysis #math.GR #math.LO

paper · pdf · doi:10.48550/arxiv.1403.3107

arxiv created 2014/02/22 · openalex publication_date 2014/02/22 · arxiv updated 2014/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The present article constitutes the third part of our study of the large scale geometry of metrisable groups, the first two part appearing in the companion paper "Large scale geometry of metrisable groups". In this third part, we present a detailed study of the theory in the special case of non-Archimedean Polish groups, that is, automorphism groups of countable first order structures.

Related

• Large scale geometry of metrisable groups
• Absolute Continuity and Large-Scale Geometry of Polish Groups
• Rational surfaces with a large group of automorphisms
• Extremely amenable automorphism groups of countable structures
• Automorphism Groups of Countable Stable Structures