The cyclic < ? - clans with q = 2 e

The cyclic q - clans with q F 2

Maximal Arcs in PG(2, q) and partial flocks of the quadratic cone

In this paper we show that there are several other structures that arise from the functions associated with the maximal arcs of Mathon type. So it is shown that maximal arcs of Mathon type are equivalent to additive partial flocks of the quadratic cone in PG(3, q) and to additive partial q-clans. Further they yield partial ovoids of Q(5, q), partial spreads of lines of PG(3, q), translation k-a...

A Series of Finite Groups and Related Symmetric Designs

Main Theorem. For every odd prime power q = p, there is a symmetric design D with parameters (2q+1, q, q 2 −1 2 ) possessing an automorphism group A of order q · ( q−1 2 ) 2 · e · 2 which is isomorphic to the subdirect product of the affine semilinear group AΓL1(q) with itself with respect to a certain epimorphism ψ : AΓL1(q) → Z2 from AΓL1(q) into the cyclic group Z2, i.e. A ∼= AΓL1(q) sdp(ψ,ψ...

Cyclic Sieving of Matchings

Let Pn denote the poset of matchings on 2n points on a circle, labeled 1, 2, . . . , 2n in cyclic order, in which we define an element to be less than another element if it can be obtained by an uncrossing. Let Pn,k denote the level of the poset with k crossings. Let Pn,k denote the level of the poset with k crossings. We study the cyclic sieving phenomenon of Pn,k. It is known that the triple ...

Effect of Abutment Connection Type and Cyclic Loading on Removal Torque Value

Background and Aim: Maintaining the primary torque of the abutment screw is a common problem related to implant-supported restorations; a failure in this respect often leads to screw loosening. The abutment screw plays a critical role in the long-term stability of restorations. This study aimed to assess the effect of two abutment connection types with and without cyclic loading on removal torq...