Infinite permutation groups. I: Products of conjugacy classes

DOI10.1016/0021-8693(89)90211-1zbMath0666.20001OpenAlexW2013645097MaRDI QIDQ1117026

John K. Truss

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90211-1

zbMATH Keywords

conjugacy classesautomorphism groupCantor settopological spacepoint stabilizersAnderson's criterionnumber of conjugatesproduct of conjugates

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Transformation groups and semigroups (topological aspects) (54H15) General theory for infinite permutation groups (20B07) Total orders (06A05) Ordered groups (06F15) Infinite automorphism groups (20B27)

Related Items (5)

Complexity of conjugacy classes of \(A(\mathbb Q)\) ⋮ Infinite permutation groups. II: Subgroups of small index ⋮ Groups of Automorphisms of Totally Ordered Sets: Techniques, Model Theory and Applications to Decision Problems ⋮ Recovering ordered structures from quotients of their automorphism groups ⋮ Weak elimination of imaginaries for Boolean algebras

Cites Work

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• Homogeneous Boolean algebras may have non-simple automorphism groups
• Infinite permutation groups. II: Subgroups of small index
• Model theory
• The Algebraic Simplicity of Certain Groups of Homeomorphisms
• Normal Subgroups of Doubly Transitive Automorphism Groups of Chains
• The group of the countable universal graph
• Automorphisms of the Rational World
• Subgroups of small Index in infinite Symmetric Groups
• Recognizing the Real Line

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