Let S be a family of involutory permutations of the set W , where |W|=n2 +1 . The authors give necessary and sufficient conditions in order that W can be identified with the point-set of an ovoid in the projective 3-space P(3,n) and S with the set {σ p : pP(3,n)−W } , where σ p (x)=x if the line px is tangent to W , and σ p (x)=y if px∩W={x,y}
On egglike inversive planes / Olanda, Domenico; G., Korchmaros. - In: JOURNAL OF GEOMETRY. - ISSN 0047-2468. - STAMPA. - (1983), pp. 53-58.
On egglike inversive planes.
OLANDA, DOMENICO;
1983
Abstract
Let S be a family of involutory permutations of the set W , where |W|=n2 +1 . The authors give necessary and sufficient conditions in order that W can be identified with the point-set of an ovoid in the projective 3-space P(3,n) and S with the set {σ p : pP(3,n)−W } , where σ p (x)=x if the line px is tangent to W , and σ p (x)=y if px∩W={x,y}File in questo prodotto:
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