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Showing 1 to 6 of 6 for “"Generalized quadrangles"”.
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Studies of some classes of algebraically defined graphs
… incidence graphs of finite geometries called generalized quadrangles have these algebraically defined graphs as induced subgraphs. At present, if its order is odd, there is only one known (family of) generalized quadrangle; it is unknown whether there are others. The driving question in this …
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Hyperovals, Laguerre planes and hemisystems - an approach via symmetry
… lot of activity, motivated by links with flocks, generalized quadrangles, and Laguerre planes, amongst others. An important element in the study of hyperovals and their related objects has been the determination of their groups -- indeed often the only way of distinguishing them has been via such …
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Incidence geometry from an algebraic graph theory point of view
… for odd rank d ≥ 5. Near polygons, including generalized polygons and dual polar spaces, are studied in the last chapter. Several results on substructures in these geometries are given. An inequality of Higman on the parameters of generalized quadrangles is generalized. Finally, it is proved …
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Homogeneous spaces with the cohomology of sphere products and compact quadrangles
… spaces and the line spaces of compact connected generalized quadrangles. We determine the isometry groups of isoparametric hypersurfaces with 4 principal curvatures of multiplicities 1 and m which are transitive on the focal manifold with non-trivial fundamental group. Buildings were introduced …