Statements (22)
| 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 |
gptkb:cyclic_group
|
| gptkbp:hasField |
true
|
| gptkbp:hasMultiplicativeGroup |
gptkb:cyclic_group
|
| gptkbp:hasSubfield |
fields of order p^m where m divides n
|
| 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 |
| https://www.w3.org/2000/01/rdf-schema#label |
finite field F
|