Israel Journal of Mathematics

, Volume 117, Issue 1, pp 125–130 | Cite as

Additive latin transversals



We prove that for every odd primep, everykp and every two subsets A={a 1, …,a k } andB={b 1, …,b k } of cardinalityk each ofZ p , there is a permutationπS k such that the sumsa i +b π(i) (inZ p ) are pairwise distinct. This partially settles a question of Snevily. The proof is algebraic, and implies several related results as well.


Finite Field Total Degree Arbitrary Subset Addition Table Distinct Member 


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Copyright information

© Hebrew University 2000

Authors and Affiliations

  1. 1.Department of Mathematics, Raymond and Beverly Sackler Faculty of Exact SciencesTel Aviv UniversityTel AvivIsrael
  2. 2.Institute for Advanced StudyPrincetonUSA

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