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Primitive permutation group

In mathematics, a permutation group G acting on a non-empty finite set X is called primitive if G acts transitively on X and the only partitions the G-action preserves are the trivial partitions into either a single set or into |X| singleton sets. Otherwise, if G is transitive and G does preserve a nontrivial partition, G is called imprimitive.

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Primitive permutation group

Top relations

related to References · 25
Primitive permutation group → Algebra, Boston, Carmichael, Colva, Dover Publications, Finite Order, Ginn, Groups, Introduction, Journal, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, MathWorld, New York, Primitive Group Action, Primitive Permutation Groups, Reprinted, Robert, Roney-Dougal

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Important terminology

group primitive permutation acting set transitive symmetric finite groups partition degree partitions displaystyle preserves trivial prime number action galois called

Entity relationships Subject–Predicate–Object triples

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SubjectPredicateObjectConfidenceSrc
Primitive permutation grouprelated to ReferencesRoney-Dougal0.60section
Primitive permutation grouprelated to ReferencesColva0.60section
Primitive permutation grouprelated to ReferencesThe0.60section
Primitive permutation grouprelated to ReferencesJournal0.60section
Primitive permutation grouprelated to ReferencesAlgebra0.60section
Primitive permutation grouprelated to ReferencesThe GAP Data Library0.60section
Primitive permutation grouprelated to ReferencesPrimitive Permutation Groups0.60section
Primitive permutation grouprelated to ReferencesCarmichael0.60section
Primitive permutation grouprelated to ReferencesRobert0.60section
Primitive permutation grouprelated to ReferencesIntroduction0.60section
Primitive permutation grouprelated to ReferencesTheory0.60section
Primitive permutation grouprelated to ReferencesGroups0.60section

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    Primitive permutation group

    Nodes26
    Edges25
    Triples25
    Avg. degree1.92
    Density0.076923
    Components1
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