Simple connectedness of hyperplane complements in some geometries related to buildings

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:118

Article

Kasikova, Anna

关键词: Building;    Incidence geometry;    Point-line space;    Hyperplane;    Simple connectedness;   

DOI  :  10.1016/j.jcta.2010.02.005

来源: Elsevier

【 摘 要 】

For a class of parapolar spaces that includes the geometries E(6.4), E(7.7), and E(8.1) with lines of size at least three, the metasymplectic spaces with lines of size at least four, and the polar line Grassmannians with lines of size at least four except D(4.2)(3), we show that the subgraph of the point-collinearity graph induced on the complement of a hyperplane is simply connected. We also show that these parapolar spaces have Veldkamp lines. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

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