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On vertex-stabilizers of bipartite dual polar graphsŠtefko Miklavič, 2010, original scientific article
Abstract: Let ▫$X,Y$▫ denote vertices of a bipartite dual polar graph, and let ▫$G_X$▫ and ▫$G_Y$▫ denote the stabilizers of ▫$X$▫ and ▫$Y$▫ in the full automorphism group of this graph. In this paper, a description of the orbits of ▫$G_X \cap G_Y$▫ in the cases when the distance between ▫$X$▫ and ▫$Y$▫ is 1 or 2, is given.
Keywords: dual polar graphs, automorphism group, quadratic form, isotropic subspace
Published in RUP: 15.10.2013; Views: 2877; Downloads: 124
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