Geodesic
Non-Abelian representations of the slim dense near hexagons on 81 and 243 points
Journal of Algebraic Combinatorics, Tome 33 (2011) no. 1, pp. 127-140.

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

Summary: We prove that the near hexagon $Q$(5,2)$\times \mathbb L _{3} Q(5,2)$timesmathbbL_3 has a non-abelian representation in the extra-special 2-group $2 ^{1+12} _{+} 2$^1+12_+ and that the near hexagon $Q$(5,2) $\otimes $Q(5,2) has a non-abelian representation in the extra-special 2-group $2 ^{1+18} _{ -} 2$^1+18_-. The description of the non-abelian representation of $Q$(5,2) $\otimes $Q(5,2) makes use of a new combinatorial construction of this near hexagon.
Keywords: keywords near hexagon, non-abelian representation, extra-special 2-group 
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     title = {Non-Abelian representations of the slim dense near hexagons on 81 and 243 points},
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De Bruyn, B.; Sahoo, B.K.; Sastry, N.S.N. Non-Abelian representations of the slim dense near hexagons on 81 and 243 points. Journal of Algebraic Combinatorics, Tome 33 (2011) no. 1, pp. 127-140. http://geodesic.mathdoc.fr/item/JAC_2011__33_1_a2/