Oligomorphic Permutation Groups

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application model theory
combinatorics
gptkbp:category infinite groups
gptkbp:defines A permutation group with finitely many orbits on n-tuples for each n
gptkbp:example automorphism group of the random graph
symmetric group on a countable set
automorphism group of the rationals with usual order
gptkbp:field group theory
permutation group theory
https://www.w3.org/2000/01/rdf-schema#label Oligomorphic Permutation Groups
gptkbp:introduced gptkb:Peter_J._Cameron
gptkbp:notableWork Oligomorphic Permutation Groups (book by Peter J. Cameron)
gptkbp:property finitely many orbits on n-element subsets for each n
gptkbp:relatedTo automorphism groups
infinite permutation groups
gptkbp:studiedIn model theory
gptkbp:bfsParent gptkb:Peter_Cameron
gptkb:Peter_J._Cameron
gptkbp:bfsLayer 7