Geodesic
On the generation of some embeddable GF(2) geometries
Journal of Algebraic Combinatorics, Tome 13 (2001) no. 1, pp. 15-28.

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Summary: The generating rank is determined for several $GF(2)$-embeddable geometries and it is demonstrated that their generating and embedding ranks are equal. Specifically, we prove that each of the two generalized hexagons of order (2, 2) has generating rank 14, that the central involution geometry of the Hall-Janko sporadic group has generating rank 28, and that the dual polar space $DU(6,2)$ has generating rank 22. We also include a survey of all instances in which either the generating or embedding rank of an embeddable $GF(2)$ geometry is known.
Keywords: point-line geometry, embeddable geometry, embedding rank, generating rank 
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     title = {On the generation of some embeddable {GF(2)} geometries},
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Cooperstein, B.N. On the generation of some embeddable GF(2) geometries. Journal of Algebraic Combinatorics, Tome 13 (2001) no. 1, pp. 15-28. http://geodesic.mathdoc.fr/item/JAC_2001__13_1_a5/