Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
finite cyclic groups of prime order
|
| gptkbp:characterizedBy |
when equality holds in Cauchy-Davenport theorem
|
| gptkbp:describes |
structure of sumsets in finite groups
|
| gptkbp:field |
number theory
additive combinatorics |
| https://www.w3.org/2000/01/rdf-schema#label |
Vosper's theorem
|
| gptkbp:namedAfter |
A. G. Vosper
|
| gptkbp:publicationYear |
1956
|
| gptkbp:publishedIn |
gptkb:Journal_of_the_London_Mathematical_Society
|
| gptkbp:state |
If A and B are non-empty subsets of Z_p with |A|,|B| ≥ 2 and |A+B| = |A|+|B|-1 < p, then A and B are arithmetic progressions with the same difference
|
| gptkbp:bfsParent |
gptkb:Cauchy–Davenport_theorem
|
| gptkbp:bfsLayer |
6
|