Statements (24)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:algebra
|
gptkbp:alsoKnownAs |
gptkb:Galois_field
|
gptkbp:automorphismGroup |
gptkb:cyclic_group_generated_by_Frobenius_automorphism
|
gptkbp:characteristic |
prime number p
|
gptkbp:contains |
primitive element
|
gptkbp:everyElementSatisfies |
x^q = x
|
gptkbp:hasAdditiveGroup |
cyclic group
|
gptkbp:hasField |
true
|
gptkbp:hasMultiplicativeGroup |
cyclic group
|
gptkbp:hasSubfield |
fields of order p^m where m divides n
|
https://www.w3.org/2000/01/rdf-schema#label |
finite field F
|
gptkbp:isFinite |
true
|
gptkbp:isSimpleExtensionOf |
prime field
|
gptkbp:isUniqueUpToIsomorphism |
true
|
gptkbp:namedAfter |
gptkb:Évariste_Galois
|
gptkbp:notation |
gptkb:𝔽_q
gptkb:GF(q) |
gptkbp:order |
p^n
|
gptkbp:usedIn |
gptkb:algebraic_geometry
coding theory cryptography number theory |
gptkbp:bfsParent |
gptkb:projective_special_linear_group
|
gptkbp:bfsLayer |
6
|