On vertex-stabilizers of bipartite dual polar graphs

Štefko Miklavič

Abstract


Let X, Y denote vertices of a bipartite dual polar graph, and let GX and GY denote the stabilizers of X and Y in the full automorphism group of this graph. In this paper, a description of the orbits of GX ∩ GY 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

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DOI: https://doi.org/10.26493/1855-3974.116.2f3

ISSN: 1855-3974

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