We determine the p-rank of the point-line incidence matrix of the generalized quadrangle of type Sp(4, p) where p is prime.

A truly fruitful way to construct finite generalized quadrangles is through the detection of Kantor families in the general 5-dimensional Heisenberg group H2(q) over some finite field Fq . All these examples are so-called “flock quadrangles”. Payne (Geom. Dedic. 32:93–118, 1989) constructed from the Ganley flock quadrangles the new Roman quadrangles, which appeared not to arise from flocks, but...

A comprehensive graph theoretical and finite geometrical study of the commutation relations between the generalized Pauli operators of N -qudits is performed in which vertices/points correspond to the operators and edges/lines join commuting pairs of them. As per two-qubits, all basic properties and partitionings of the corresponding Pauli graph are embodied in the geometry of the generalized q...

The article evaluates the relationship between tax burden on labor and magic quadrangle indicators in Czech Republic years 1993 through 2020. examines whether such as effective rate or affect macro-economic of quadrangle. originality this study lies fact that it deals with influence political factors. analysis shows strongest correlation growth gross domestic product implicit labor. Moreover, f...

Let S be a thick generalized quadrangle and let G be a group of automorphisms of S. If G acts transitively on the set of non-degenerate ordered pentagons, then S is one of the classical generalized quadrangles W (q), Q(4, q), Q(5, q) or H(3, q2). The possibilities for G in each case are determined. We do not use the classification of the finite simple groups (from which this result also follows).

Elation generalized quadrangles of order (p, t), p prime, are classical

We classify generalized quadrangles of order (p, t) admitting a 2-transitive regulus, p a prime. © 2006 Published by Elsevier Inc.

A comprehensive graph theoretical and finite geometrical study of the commutation relations between the generalized Pauli operators of N -qudits is performed in which vertices/points correspond to the operators and edges/lines join commuting pairs of them. As per two-qubits, all basic properties and partitionings of the corresponding Pauli graph are embodied in the geometry of the generalized q...

Abstract This article aims to shed some light on the functioning of quadrangle, a combinatorial mnemonic mechanism devised by Iacobus Publicius and great tradition in artes memorativae. The absence an explanation how it works Publicius’ text has meant that many scholars have not approached this quadrangle. We believe such can now be provided early 16 th century treatise writer, Iohannes Romberc...