Group Actions on Pretrees and Definability

DOI10.1081/AGB-120027912zbMath1061.03034OpenAlexW2047382459MaRDI QIDQ3154472

Alexandre A. Ivanov

Publication date: 14 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120027912

zbMATH Keywords

group actions on treesaxiomatizable class of structurestwo-sorted structures

Mathematics Subject Classification ID

Models with special properties (saturated, rigid, etc.) (03C50) Groups acting on trees (20E08) Interpolation, preservation, definability (03C40) Infinite automorphism groups (20B27)

Related Items (3)

Generating \(\mathrm{Sym}(\omega )\) by permutations preserving dense orders ⋮ Products of loxodromic automorphisms of pretrees. ⋮ Non-nesting actions of Polish groups on real trees.

Cites Work

• An application of model theory to real and p-adic algebraic groups
• Groups definable in local fields and pseudo-finite fields
• Algebraic and abstract simple groups
• On linearly ordered groups
• Treelike structures arising from continua and convergence groups
• Non-Nesting Actions On Real Trees

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