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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:application
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gptkb:Galois_theory
Cryptography
Combinatorics
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gptkbp:definedIn
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Groups whose elements are permutations of a set
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gptkbp:example
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gptkb:Alternating_group
gptkb:Symmetric_group
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gptkbp:field
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gptkb:Group_theory
gptkb:Abstract_algebra
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https://www.w3.org/2000/01/rdf-schema#label
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Permutation Groups
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gptkbp:notablePerson
|
gptkb:Évariste_Galois
gptkb:Camille_Jordan
gptkb:Arthur_Cayley
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gptkbp:notation
|
A_n for alternating group
S_n for symmetric group
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gptkbp:operator
|
Composition of permutations
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gptkbp:property
|
Primitive
Finite or infinite
Imprimitive
Transitive
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gptkbp:relatedTo
|
gptkb:Cayley's_theorem
Group action
Orbit-stabilizer theorem
|
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gptkbp:studiedBy
|
Mathematicians
|
|
gptkbp:studiedIn
|
19th century mathematics
|
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gptkbp:usedIn
|
gptkb:Classification_of_finite_simple_groups
Coding theory
Design theory
Solving polynomial equations
|
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gptkbp:bfsParent
|
gptkb:Martin_Liebeck
gptkb:Peter_Cameron
gptkb:Peter_J._Cameron
|
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gptkbp:bfsLayer
|
7
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