Primitive Ovoids in O+8(q)

Kleidman (1988) has classified the 2-transitive ovoids in finite polar spaces. We show that any ovoid O in O+8(q) for which Aut(O) permutes the points of O primitively, is either the Cooperstein ovoid in O+8(5), or is 2-transitive (and so appears in Kleidman's list).

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Bibliographic Details
Published in:Journal of combinatorial theory. Series A 2000-01, Vol.89 (1), p.70-76
Main Author: Gunawardena, Athula
Format: Article
Language:English
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Summary:Kleidman (1988) has classified the 2-transitive ovoids in finite polar spaces. We show that any ovoid O in O+8(q) for which Aut(O) permutes the points of O primitively, is either the Cooperstein ovoid in O+8(5), or is 2-transitive (and so appears in Kleidman's list).
ISSN:0097-3165
1096-0899
DOI:10.1006/jcta.1999.3004