A Note on Fano Configurations in the Projective Space PG(5,2)

Authors : Ziya AKÇA, Abdilkadir ALTINTAŞ

Pages : 190-192

View : 81 | Download : 17

Publication Date : 2021-04-28

Article Type : Research Paper

Abstract :Let $n\geq $ $2$ and let $U_{j}\mid j\in J$, with $|J|=n^{2}+n+1$, be a set of disjoint subspaces insert ignore into journalissuearticles values(of the same dimension); of some finite projective space $PGinsert ignore into journalissuearticles values(N,q);$ with the property that the number of such subspaces in the span of any two such subspaces is always $n+1$ and the intersection of any two different such spans is always a subspace $U_{j}$ insert ignore into journalissuearticles values(so we have a projective plane of order $n$ with point set $U_{j}\mid j\in J.$); In this work we search for Fano configurations in PGinsert ignore into journalissuearticles values(5,2); whose lines are 3-spaces and points are lines.
Keywords : `Projective spaces`, `Fano Plane`, ` Fano Axiom`

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