A geometric construction of Mathon's perp-system from four lines of PG(5,3)
John Bamberg, Frank De Clerck
TL;DR
This paper presents a novel geometric construction of Mathon's perp-system in five-dimensional projective space over GF(3), derived from an initial configuration of four lines, enhancing understanding of its structure.
Contribution
It introduces a new geometric method to construct Mathon's perp-system from four lines in PG(5,3), providing insights into its configuration.
Findings
New geometric construction of Mathon's perp-system
Simplifies understanding of the system's structure
Potential applications in finite geometry and combinatorics
Abstract
We give a new construction of the Mathon perp-system of the five dimensional projective space over the field with three elements, starting from four lines.
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