Topological 2-generation of automorphism groups of countable ultrahomogeneous graphs

DOI10.1515/forum-2016-0056zbMath1367.05104arXiv1602.05766OpenAlexW2962680658MaRDI QIDQ2363345

Julius Jonušas, James D. Mitchell

Publication date: 13 July 2017

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05766

zbMATH Keywords

automorphism groupsPolish groupstopological generationFraïssé limits

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Enumeration in graph theory (05C30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Infinite automorphism groups (20B27)

Related Items (2)

Dense free subgroups of automorphism groups of homogeneous partially ordered sets ⋮ Automorphism groups of finite topological rank

Cites Work

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• \(1\tfrac 12\)-generation of finite simple groups
• Extending partial isometries
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• GROUPS OF AUTOMORPHISMS OF N₀-CATEGORICAL STRUCTURES
• Generating Dense Subgroups of Measure Preserving Transformations
• Countable Ultrahomogeneous Undirected Graphs
• 3/2—Generation of the sporadic simple groups
• Density theorems for measurable transformations
• Highly transitive subgroups of the symmetric group on the natural numbers
• Asymmetric graphs

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