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. Gu_nawardena 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.
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机译：许多已知的卵形和有限极空间的扩散都允许一个过渡性的顺应群，1988年，P。Kleidman将卵形中的一个允许2个传递性群分类。 A. Gu_nawardena最近通过确定允许原始组的七维双曲二次曲面的卵形扩展了此分类。在本文中，我们将有限极性空间的卵形和扩散（由不溶的过渡性顺应性群稳定化）分类为接纳该类群的m系统的更一般分类的推论。
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