1,720,992 research outputs found
On egglike inversive planes.
No full textLet 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
The structure of collineation groups preserving an oval in a projective plane of odd order.
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Suzuki groups, one-factorizations and Lueneburg planes.
No full textIn this paper we give a method for studying a plane of order q^2 admitting Sz(q) as a collineation group fixing an oval and acting 2-transitively on its points; we prove in particular that for q=8 the dual Lueneburg plane is the unique plane with this property. We also determine all one factorizations of the complete graph on q^2 vertices admitting the one-point-stabilizer of Sz(q) as an automorphism group and having q-1 prescribed one-factors
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