Geodesic
Coverings of the smallest Paige loop.
Journal of Algebraic Combinatorics, Tome 34 (2011) no. 4, pp. 607-615.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: By investigating the construction of the split Cayley generalized hexagon, $H(2)$, we get that there do not exist five distinct hexagon lines each a distance two apart from each other. From this we prove that the smallest Paige loop has a covering number of seven and that its automorphism group permutes these coverings transitively.
Keywords: keywords covering number, Moufang loop, generalized hexagon, split Cayley hexagon 
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     author = {Gagola, Stephen M.III},
     title = {Coverings of the smallest {Paige} loop.},
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Gagola, Stephen M.III. Coverings of the smallest Paige loop.. Journal of Algebraic Combinatorics, Tome 34 (2011) no. 4, pp. 607-615. http://geodesic.mathdoc.fr/item/JAC_2011__34_4_a6/