The automorphism group of Hall’s universal group

DOI10.1090/proc/13836zbMath1427.20043arXiv1703.10540OpenAlexW2624259589MaRDI QIDQ3132777

Saharon Shelah, Gianluca Paolini

Publication date: 30 January 2018

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

Full work available at URL: https://arxiv.org/abs/1703.10540

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Model-theoretic algebra (03C60) Chains and lattices of subgroups, subnormal subgroups (20E15) Automorphism groups of groups (20F28) Infinite automorphism groups (20B27)

Related Items (6)

All those EPPA classes (strengthenings of the Herwig–Lascar theorem) ⋮ Homogeneous structures: model theory meets universal algebra. Abstracts from the workshop held January 3--9, 2021 (online meeting) ⋮ Group metrics for graph products of cyclic groups ⋮ Hall's universal group has ample generic automorphisms ⋮ Universal locally finite maximally homogeneous semigroups and inverse semigroups ⋮ Reconstructing structures with the strong small index property up to bi-definability

Cites Work

• Unnamed Item
• Simplicity of some automorphism groups.
• Uncountable universal locally finite groups
• Centralizers of finite subgroups in Hall's universal group
• A survey of homogeneous structures
• Fraïssé structures with universal automorphism groups
• Some Constructions for Locally Finite Groups
• Turbulence, amalgamation, and generic automorphisms of homogeneous structures
• A.C. Groups: Extensions, Maximal Subgroups, and Automorphisms
• The Automorphism Group of a Free Group is Complete
• Complete Universal Locally Finite Groups
• The Small Index Property for ω‐Stable ω‐Categorical Structures and for the Random Graph
• On the isometry group of the Urysohn space
• Reconstructing structures with the strong small index property up to bi-definability
• An essay on free products of groups with amalgamations

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