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

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.

Authors

Stefano Innamorati (ORCID: https://orcid.org/0000-0002-6109-6566)

Institutions

University of L'Aquila (IT)

Publication Details

Journal: Axioms
Published: 2025-09-09
DOI: https://doi.org/10.3390/axioms14090688
Primary Topic: Finite Group Theory Research
Type: article
Field-Weighted Citation Impact: 0.00

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article

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

Stefano Innamorati

Sep 9, 2025

Axioms

Finite Group Theory Research

article

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

Stefano Innamorati

September 9, 2025article en

Abstract

AxiomsVol. 14(9)

University of L'Aquila (IT)

Openalex Percentile: Top 69%

Finite Group Theory Research

DOI Open Access PDF OpenAlex

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Partitioning AG(2,q), q≡7 Mod 12, into MöbiusKantor Configurations and One Point — Stefano Innamorati · Axioms (2025) | TGRS Research Map | TGRS