Geodesic
Quasigroups Orthogonal to a Given Abelian Group
Canadian mathematical bulletin, Tome 14 (1971) no. 1, p. 117

Voir la notice de l'article provenant de la source Cambridge University Press

In this note we prove the following theorem, which does not seem to appear explicitly in the literature.Theorem. Let A be a finite abelian group and p the smallest prime which divides |A|. Then there are p—1 mutually orthogonal quasigroups of order |A|, one of which is A. 
Lindner, Charles C. Quasigroups Orthogonal to a Given Abelian Group. Canadian mathematical bulletin, Tome 14 (1971) no. 1, p. 117. doi: 10.4153/CMB-1971-022-4
@article{10_4153_CMB_1971_022_4,
     author = {Lindner, Charles C.},
     title = {Quasigroups {Orthogonal} to a {Given} {Abelian} {Group}},
     journal = {Canadian mathematical bulletin},
     pages = {117--117},
     year = {1971},
     volume = {14},
     number = {1},
     doi = {10.4153/CMB-1971-022-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-022-4/}
}
TY  - JOUR
AU  - Lindner, Charles C.
TI  - Quasigroups Orthogonal to a Given Abelian Group
JO  - Canadian mathematical bulletin
PY  - 1971
SP  - 117
EP  - 117
VL  - 14
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-022-4/
DO  - 10.4153/CMB-1971-022-4
ID  - 10_4153_CMB_1971_022_4
ER  - 
%0 Journal Article
%A Lindner, Charles C.
%T Quasigroups Orthogonal to a Given Abelian Group
%J Canadian mathematical bulletin
%D 1971
%P 117-117
%V 14
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-022-4/
%R 10.4153/CMB-1971-022-4
%F 10_4153_CMB_1971_022_4

[1] 1. Johnson, D. M., Dulmage, A. L. and Mendelsohn, N. S., Orthomorphisms of groups and orthogonal latin squares. I. Canad. J. Math. 13 (1961), 356-372. Google Scholar

Cité par Sources :