“Oligomorphic group”的意思、由来-开放百科全书

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Oligomorphic group

释义

References
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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

1. ^{{cite book | zbl=0916.20002 | last1=Bhattacharjee | first1=Meenaxi | last2=Macpherson |first2=Dugald | last3=Möller | first3=Rögnvaldur G. | last4=Neumann | first4=Peter M. | title=Notes on infinite permutation groups | series=Lecture Notes in Mathematics | volume=1698 | location=Berlin | publisher=Springer-Verlag | year=1998 | isbn=3-540-64965-4 | page=83 }}

{{cite book | last=Cameron | first=Peter J. | authorlink=Peter Cameron (mathematician) | title=Oligomorphic permutation groups | series=London Mathematical Society Lecture Note Series | volume=152 | location=Cambridge | publisher=Cambridge University Press | year=1990 | isbn=0-521-38836-8 | zbl=0813.20002 }}

External links

Oligomorphic permutation groups - Isaac Newton Institute preprint, Peter J. Cameron

2 : Permutation groups|Infinite group theory

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