Cauchy's theorem (group theory)
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
finite groups
|
| gptkbp:category |
theorems in group theory
|
| gptkbp:field |
group theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cauchy's theorem (group theory)
|
| gptkbp:implies |
existence of elements of prime order in finite groups
|
| gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:publishedIn |
1829
|
| gptkbp:relatedTo |
gptkb:Sylow_theorems
|
| gptkbp:sentence |
If a finite group G has order divisible by a prime p, then G contains an element of order p.
|
| gptkbp:usedIn |
proofs in group theory
|
| gptkbp:bfsParent |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:bfsLayer |
5
|