Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:Galois_theory
Cryptography Combinatorics |
| gptkbp:definedIn |
Groups whose elements are permutations of a set
|
| gptkbp:example |
gptkb:Alternating_group
gptkb:Symmetric_group |
| gptkbp:field |
gptkb:Group_theory
gptkb:Abstract_algebra |
| gptkbp:notablePerson |
gptkb:Évariste_Galois
gptkb:Camille_Jordan gptkb:Arthur_Cayley |
| gptkbp:notation |
A_n for alternating group
S_n for symmetric group |
| gptkbp:operator |
Composition of permutations
|
| gptkbp:property |
Primitive
Finite or infinite Imprimitive Transitive |
| gptkbp:relatedTo |
gptkb:Cayley's_theorem
Group action Orbit-stabilizer theorem |
| gptkbp:studiedBy |
Mathematicians
|
| gptkbp:studiedIn |
19th century mathematics
|
| gptkbp:usedIn |
gptkb:Classification_of_finite_simple_groups
Coding theory Design theory Solving polynomial equations |
| gptkbp:bfsParent |
gptkb:Martin_Liebeck
gptkb:Peter_Cameron gptkb:Peter_J._Cameron |
| gptkbp:bfsLayer |
7
|
| http://www.w3.org/2000/01/rdf-schema#label |
Permutation Groups
|