Work

Partitioning AG(2,q), q≡7 Mod 12, into MöbiusKantor Configurations and One Point

Year: 2025

Type: article

Abstract: By the cyclic structure of the affine plane AG(2,q), q≡7 mod 12, a mixed partition into a set of Möbius–Kantor configurations and a one-point set is provided. This generalizes a 2006 result of L. Berardi and T. Masini, who partitioned the affine plane of order 7 into a set of Möbius–Kantor configurations and a one-point set.

Source: Axioms

DOI: 10.3390/axioms14090688

Author: Stefano Innamorati

Institution: University of L'Aquila

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni