Oligomorphic permutation groups

@inproceedings{Cameron1990OligomorphicPG,
  title={Oligomorphic permutation groups},
  author={Peter J. Cameron},
  year={1990}
}
A permutation group G (acting on a set Ω, usually infinite) is said to be oligomorphic if G has only finitely many orbits on Ωn (the set of n-tuples of elements of Ω). Such groups have traditionally been linked with model theory and combinatorial enumeration; more recently their group-theoretic properties have been studied, and links with graded algebras, Ramsey theory, topological dynamics, and other areas have emerged. This paper is a short summary of the subject, concentrating on the… CONTINUE READING

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