Homogeneous actions on the random graph

DOI10.4171/GGD/589MaRDI QIDQ2035103

Soyoung Moon, Yves Stalder, Pierre Fima

Publication date: 24 June 2021

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03671

zbMATH Keywords

free groupsgroups acting on treesrandom graphBaire category theoremhomogeneous actions

Mathematics Subject Classification ID

Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Multiply transitive infinite groups (20B22)

Cites Work

• Unnamed Item
• The structure of finitary permutation groups
• Automorphism groups of countable highly homogeneous partially ordered sets
• Highly transitive actions of free products.
• A survey of homogeneous structures
• A locally finite dense group acting on the random graph
• Highly transitive actions of groups acting on trees
• Structure of partially ordered sets with transitive automorphism groups
• The group of the countable universal graph
• GROUPS OF AUTOMORPHISMS OF N₀-CATEGORICAL STRUCTURES
• The Automorphism Group of a Countable Recursively Saturated Structure
• UBIQUITY OF FREE SUBGROUPS
• Aut (M ) Has a Large Dense Free Subgroup for Saturated M
• Large free subgroups of automorphism groups of ultrahomogeneous spaces
• Universal graphs and universal functions
• The random graph
• Asymmetric graphs

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