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 language | English |
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Pages (from-to) | 181-216 |
Journal | Forum Mathematicum |
Volume | 21 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2009 |