Oligomorphic group
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In group theory, a branch of mathematics, an oligomorphic group is a particular kind of permutation group. If a group G acts on a set S (usually infinite), then G is said to be oligomorphic if this action has only finitely many orbits on every Cartesian product Sn of S (n-tuples of elements of S for every natural number n). The interest in oligomorphic groups is partly based on their application to model theory, e.g. automorphisms in countably categorical theories.[1]
References
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External links
- Oligomorphic permutation groups - Isaac Newton Institute preprint, Peter J. Cameron
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