The small index property and the cofinality of the automorphism group

DOI10.3103/S1055134417010011zbMath1374.03024OpenAlexW2589368249MaRDI QIDQ5269175

K. Zh. Kudaibergenov

Publication date: 15 June 2017

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134417010011

zbMATH Keywords

automorphism groupsmall index propertyhomogeneous model

Mathematics Subject Classification ID

Models with special properties (saturated, rigid, etc.) (03C50) Model theory of denumerable and separable structures (03C15) Infinite automorphism groups (20B27) Groups as automorphisms of other structures (22F50)

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A.D. Taimanov and model theory in Kazakhstan

Cites Work

• Unnamed Item
• Groups of automorphisms and chains of closed subgroups
• Infinite permutation groups. II: Subgroups of small index
• On the definition of the small index property
• The uncountable cofinality of the automorphism group of the countable universal distributive lattice
• Subgroups of small Index in infinite General Linear Groups
• Subgroups of small Index in infinite Symmetric Groups
• Automorphism Groups of Infinite Semilinear Orders (II)
• Subgroups of Infinite Symmetric Groups
• The Small Index Property for ω‐Stable ω‐Categorical Structures and for the Random Graph
• Uncountable Saturated Structures have the Small Index Property
• A Saturated Model of an Unsuperstable Theory of Cardinality greater than its theory has the Small Index Property
• Autour De La Propriété Du Petit Indice

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