Closed groups induced by finitary permutations and their actions on trees

DOI10.1090/S0002-9939-01-06114-7zbMath0983.03030OpenAlexW1546525065MaRDI QIDQ2759040

Alexandre A. Ivanov

Publication date: 10 December 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06114-7

zbMATH Keywords

automorphism groupreal tree2-dimensional cellcountable saturated structure

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Classification theory, stability, and related concepts in model theory (03C45) Subgroups of symmetric groups (20B35) Infinite automorphism groups (20B27)

Related Items (1)

Completely metrisable groups acting on trees

Cites Work

• Maximal Frattini extensions
• The structure of finitary permutation groups
• The lawlessness of groups of finitary permutations
• Model theory
• The Small Index Property for Free Groups and Relatively Free Groups
• Generic Automorphisms of Homogeneous Structures
• REAL CLOSED RINGS AND ORDERED VALUATION RING
• Infinite products of finite simple groups
• Some remarks on group actions on trees
• On the number of minimal models
• S-homogeneity and automorphism groups
• The Small Index Property for ω‐Stable ω‐Categorical Structures and for the Random Graph
• A group theoretic criterion for property FA
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