A classification of transitive ovoids, spreads, and m-systems of polar spaces

John Bamberg, Tim Penttila

    Research output: Contribution to journalArticle

    8 Citations (Scopus)

    Abstract

    Many of the known ovoids and spreads of finite polar spaces admit a transitive group of collineations, and in 1988, P. Kleidman classified the ovoids admitting a 2-transitive group. A. Gunawardena has recently extended this classification by determining the ovoids of the seven-dimensional hyperbolic quadric which admit a primitive group. In this paper we classify the ovoids and spreads of finite polar spaces which are stabilised by an insoluble transitive group of collineations, as a corollary of a more general classification of m-systems admitting such groups.
    Original languageEnglish
    Pages (from-to)181-216
    JournalForum Mathematicum
    Volume21
    Issue number2
    DOIs
    Publication statusPublished - 2009

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