Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
finite subsets of abelian groups
|
| gptkbp:field |
number theory
additive combinatorics |
| gptkbp:generalizes |
gptkb:Cauchy–Davenport_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Freiman's theorem
|
| gptkbp:influenced |
additive number theory
arithmetic combinatorics |
| gptkbp:namedAfter |
Gregory Freiman
|
| gptkbp:relatedConcept |
sumset
generalized arithmetic progression inverse additive problems |
| gptkbp:result |
A set with small sumset is contained in a generalized arithmetic progression.
|
| gptkbp:sentence |
Describes the structure of finite sets of integers with small doubling.
|
| gptkbp:yearProved |
1964
|
| gptkbp:bfsParent |
gptkb:Plünnecke's_inequality
gptkb:Additive_Number_Theory |
| gptkbp:bfsLayer |
8
|