The structure of random automorphisms of the random graph

DOI10.1016/j.apal.2022.103152OpenAlexW2886971108WikidataQ114016282 ScholiaQ114016282MaRDI QIDQ2159930

Viktor Kiss, Udayan B. Darji, Kende Kalina, Zoltán Vidnyánszky, Márton Elekes

Publication date: 2 August 2022

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06121

zbMATH Keywords

automorphism grouprandom graphHaar nulltypical elementnon-locally compact Polish grouprandom automorphism

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Topological groups (topological aspects) (54H11) Classical measure theory (28A99) Model theory of denumerable and separable structures (03C15) Groups as automorphisms of other structures (22F50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Graph theoretic structure of maps of the Cantor space
• The automorphism group of the random graph: four conjugates good, three conjugates better.
• The structure of random homeomorphisms
• On sets of Haar measure zero in abelian Polish groups
• Haar null and non-dominating sets
• Generic Automorphisms of Homogeneous Structures
• Turbulence, amalgamation, and generic automorphisms of homogeneous structures
• The group of the countable universal graph
• The Small Index Property for ω‐Stable ω‐Categorical Structures and for the Random Graph
• Examples of non-shy sets
• The universal minimal system for the group of homeomorphisms of the Cantor set
• The structure of random automorphisms of countable structures