Geodesic
Elementary Abelian Cartesian Groups Cartesian Groups
Canadian journal of mathematics, Tome 40 (1988) no. 6, pp. 1315-1321

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

Throughout the paper, G will denote an additively written, but not always abelian, group of finite order n; and X = (xij) will denote a square matrix of order n with entries from G and whose rows and columns are numbered 0, 1, ..., n − 1. We call X a cartesian array (afforded by G) if(1.1) The sequence {−xmi + xki , i = 0,..., n – 1} contains all elements of G whenever k ≠ m.By a theorem of Jungnickel (see Theorem 2.2 in [5]), the transpose of a cartesian array is also a cartesian array. We call G a cartesian group if there is a cartesian array X afforded by G. In this case, we also call (G, X) a cartesian pair. 
Hayden, John L. Elementary Abelian Cartesian Groups Cartesian Groups. Canadian journal of mathematics, Tome 40 (1988) no. 6, pp. 1315-1321. doi: 10.4153/CJM-1988-058-8
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