316 research outputs found

    On symplectic semifield spreads of PG(5,q2), q odd

    Get PDF
    We prove that there exist exactly three non-equivalent symplectic semifield spreads of PG ( 5 , q2), for q2> 2 .38odd, whose associated semifield has center containing Fq. Equivalently, we classify, up to isotopy, commutative semifields of order q6, for q2> 2 .38odd, with middle nucleus containing q2Fq2and center containing q Fq

    The tangent splash in \PG(6,q)

    Full text link
    Let B be a subplane of PG(2,q^3) of order q that is tangent to ℓ∞\ell_\infty. Then the tangent splash of B is defined to be the set of q^2+1 points of ℓ∞\ell_\infty that lie on a line of B. In the Bruck-Bose representation of PG(2,q^3) in PG(6,q), we investigate the interaction between the ruled surface corresponding to B and the planes corresponding to the tangent splash of B. We then give a geometric construction of the unique order-qq-subplane determined by a given tangent splash and a fixed order-qq-subline.Comment: arXiv admin note: substantial text overlap with arXiv:1303.550
    • …
    corecore