Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
abelian groups
|
| gptkbp:field |
group theory
additive combinatorics |
| https://www.w3.org/2000/01/rdf-schema#label |
Kneser's theorem
|
| gptkbp:namedAfter |
gptkb:Martin_Kneser
|
| gptkbp:relatedTo |
gptkb:Cauchy-Davenport_theorem
gptkb:Plünnecke-Ruzsa_inequality |
| gptkbp:sentence |
For finite subsets A and B of an abelian group, |A+B| ≥ |A+H| + |B+H| - |H|, where H is the stabilizer of A+B.
|
| gptkbp:usedIn |
additive number theory
|
| gptkbp:yearProved |
1953
|
| gptkbp:bfsParent |
gptkb:Cauchy-Davenport_theorem
gptkb:Reinhard_Kneser gptkb:Hamidoune's_theorem |
| gptkbp:bfsLayer |
7
|