Orbits of Permutation Groups on Unordered Sets, II

DOI10.1112/jlms/s2-23.2.249zbMath0498.20003OpenAlexW2036677622MaRDI QIDQ3963210

Peter J. Cameron

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-23.2.249

zbMATH Keywords

automorphism groupnumber of orbitsRamsey's theoremcountable local ordernumber of colour schemes

Mathematics Subject Classification ID

General theory for infinite permutation groups (20B07) Generalized Ramsey theory (05C55) Characterization theorems for permutation groups (20B10)

Related Items (19)

Near polygons and Fischer spaces ⋮ On a stronger reconstruction notion for monoids and clones ⋮ On semi-finite hexagons of order \((2,t)\) containing a subhexagon ⋮ NIP ω$\omega$‐categorical structures: The rank 1 case ⋮ The conjugacy problem for automorphism groups of countable homogeneous structures ⋮ Set‐homogeneous hypergraphs ⋮ Skew-adjacency matrices of tournaments with bounded principal minors ⋮ When is the orbit algebra of a group an integral domain ? Proof of a conjecture of P.J. Cameron ⋮ Algebras of binary formulas for weakly circularly minimal theories with trivial definable closure ⋮ On the finiteness of near polygons with 3 points on every line ⋮ On generalized hexagons of order \((3, t)\) and \((4, t)\) containing a subhexagon ⋮ Orbits on \(n\)-tuples for infinite permutation groups ⋮ On an algebra related to orbit-counting ⋮ Locally finite generalized quadrangles with at most five points per line ⋮ A survey of homogeneous structures ⋮ Matricial characterization of tournaments with maximum number of diamonds ⋮ Half-Moufang implies Moufang for generalized quadrangles ⋮ The case of equality in the Livingstone-Wagner theorem. ⋮ Slim near polygons.

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