File:GrapheCayley-C3xC3semiC2-Tore.svg

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Description

(Du source XML) Il y a trois groupes non-abéliens d'ordre 18: S_3 X C_3, le groupe dihédrale D_18, et finalement ce groupe-ci, un produit semi-direct de C_3^2 par C_2, qui agit par inversion. Il a une présentation < x,y,z | x^2 = y^2 = z^2 = (xy)^3 = (xz)^3 = (yz)^3 = (xyz)^2 > On peut dessiner le graphe de Cayley de ces trois générateurs sur une surface de genre 1, qui sera divisée en 9 régions, et coloriée avec 3 couleurs.

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current02:43, 31 August 2007Thumbnail for version as of 02:43, 31 August 2007600 × 600 (9 KB)Fool~commonswiki (talk | contribs)(''Du source XML'') Il y a trois groupes non-abéliens d'ordre 18: S_3 X C_3, le groupe dihédrale D_18, et finalement ce groupe-ci, un [[:fr:produit semi-direct|pr
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