Orbit-equivalent infinite permutation groups.
From MaRDI portal
Publication:2435043
DOI10.1007/s10801-013-0434-0zbMath1291.20001arXiv1207.2649OpenAlexW2028276781WikidataQ61848354 ScholiaQ61848354MaRDI QIDQ2435043
Deborah C. Lockett, H. D. Macpherson
Publication date: 3 February 2014
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1207.2649
primitive permutation groupsclosed permutation groupsorbit-equivalent permutation groupstopologies on symmetric groups
General theory for infinite permutation groups (20B07) Primitive groups (20B15) Subgroups of symmetric groups (20B35) Infinite automorphism groups (20B27)
Related Items (2)
Orbit closed permutation groups, relation groups, and simple groups ⋮ Infinite motion and 2-distinguishability of graphs and groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Set-homogeneous directed graphs
- Orbit equivalence and permutation groups defined by unordered relations.
- Distinguishability of infinite groups and graphs
- On orbit equivalent permutation groups
- On groups with no regular orbits on the set of subsets
- On finite permutation groups with the same orbits on unordered sets
- Theory of relations. Transl. from the French by P. Clote
- Combinatorially homogeneous graphs
- On partitions and permutation groups on unordered sets
- Transitivity of permutation groups on unordered sets
- Set-homogeneous graphs
- A classification of primitive permutation groups with finite stabilizers.
- Distinguishing number of countable homogeneous relational structures
- Orbits of Infinite Permutation Groups
- Structure of partially ordered sets with transitive automorphism groups
- Homogeneity of Infinite Permutation Groups
- On Homogeneous Graphs
- Primitive Groups with no Regular Orbits on the Set of Subsets
- The Action of an Infinite Permutation Group on Unordered Subsets of a Set
- Primitive Permutation Groups with Primitive Jordan Sets
- Example of a proper subgroup of 𝑆_{∞} which has a set-transitivity property
- A family of countable homogeneous graphs
This page was built for publication: Orbit-equivalent infinite permutation groups.