Simplicity of some automorphism groups.

DOI10.1016/j.jalgebra.2011.05.021zbMath1244.20002OpenAlexW2024767348WikidataQ61848359 ScholiaQ61848359MaRDI QIDQ661368

Katrin Tent, Dugald Macpherson

Publication date: 10 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.05.021

zbMATH Keywords

automorphism groupsPolish groupsFraïssé limitssimple permutation groups

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Simple groups (20E32) Classification theory, stability, and related concepts in model theory (03C45) Infinite automorphism groups (20B27)

Related Items (13)

Simplicity of the automorphism groups of order and tournament expansions of homogeneous structures ⋮ Simplicity of the automorphism groups of some Hrushovski constructions ⋮ Glasner's problem for Polish groups with metrizable universal minimal flow ⋮ THE AUTOMORPHISM GROUP OF THE FRAÏSSÉ LIMIT OF FINITE HEYTING ALGEBRAS—ADDENDUM ⋮ COHERENT EXTENSION OF PARTIAL AUTOMORPHISMS, FREE AMALGAMATION AND AUTOMORPHISM GROUPS ⋮ Hall's universal group has ample generic automorphisms ⋮ GENERALIZED AMALGAMATION AND HOMOGENEITY ⋮ Automorphism groups of countable algebraically closed graphs and endomorphisms of the random graph ⋮ Two Fraïssé-style theorems for homomorphism-homogeneous relational structures ⋮ Simplicity of the automorphism groups of generalised metric spaces ⋮ AN AXIOMATIC APPROACH TO FREE AMALGAMATION ⋮ The automorphism group of Hall’s universal group ⋮ Lelek fan from a projective Fraïssé limit

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Free polygons, twin trees, and \(\mathrm{CAT}(1)\)-spaces
• A new strongly minimal set
• Automorphisms of homogeneous structures
• Extending partial isomorphisms for the small index property of many \(\omega\)-categorical structures
• Automorphism groups of countable highly homogeneous partially ordered sets
• The automorphism group of the random graph: four conjugates good, three conjugates better.
• A census of infinite distance-transitive graphs
• A survey of homogeneous structures
• Some isometry groups of the Urysohn space
• Intersection matrices for finite permutation groups
• Turbulence, amalgamation, and generic automorphisms of homogeneous structures
• Structure of partially ordered sets with transitive automorphism groups
• Automorphism Groups of Infinite Semilinear Orders (I)
• Les automorphismes d'un ensemble fortement minimal
• The group of almost automorphisms of the countable universal graph
• The classification of countable homogeneous directed graphs and countable homogeneous 𝑛-tournaments
• Infinite Dimensional Classical Groups
• Countable homogeneous relational structures and ℵ₀-categorical theories

This page was built for publication: Simplicity of some automorphism groups.