SavedAdd your journal

Journals / Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler / 2023 / Cilt: 11 Sayı: 2

SOME RESULTS ON THE SMALLEST CARTESIAN GROUP PLANE

Ziya AKÇA
Pages
143–147
Publication Date
2023-08-28
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this work, in some cases depending on the choice of the regular quadrangle it is shown that there is no any projective subplane of order 3 of π.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let π be the projective plane of order 25 coordinatised by elements of the smallest cartesian group.
📊
Key Findings & Data:Let π be the projective plane of order 25 coordinatised by elements of the smallest cartesian group.
💡
Conclusion & Impact:In this work, in some cases depending on the choice of the regular quadrangle it is shown that there is no any projective subplane of order 3 of π.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Kartezyen grup · Projektif Düzlem · Cebirsel yapı

Abstract

Let π be the projective plane of order 25 coordinatised by elements of the smallest cartesian group. In this work, in some cases depending on the choice of the regular quadrangle it is shown that there is no any projective subplane of order 3 of π.

Özet

En küçük Kartezyen grubunun elemanlarıyla koordinatlanan 25. mertebeden bir projektif düzlem π olsun. Bu çalışmada, düzgün dörtgenin seçimine bağlı olarak bazı durumlarda π nin 3. mertebeden herhangi bir projektif alt düzlemi olmadığı gösterilmektedir.

🔖

Cite This Article

AKÇA, Z. (2023). SOME RESULTS ON THE SMALLEST CARTESIAN GROUP PLANE. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler, Cilt: 11 Sayı: 2, 143–147. https://ajindex.com/articles/959075

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (6)

  1. Akça Z. The construction of the cartesian group plane of order 25. MSc, University of Anadolu, Eskişehir, Turkey, 1991
  2. Akça Z, Günaltılı İ. On the (k,3)-arcs of CPG(2,25,5). Anadolu University Journal of Science and–B Theoretical Sciences, 2012; 2 - 1: 21-27
  3. Bayar A, Akça Z, Ekmekçi S. On Embedding the Projective Plane PG(2,4) to the Projective Space P(4,4). New Trends in Mathematical Sciences, 2022: 10- 4: 142–150
  4. Ekmekçi S, Bayar A, Akça Z. On The Projective Planes in Projective Space PG(4,4). Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi, 2022: 38- 3: 519–524
  5. Ekmekçi S, Bayar A, Altintaş Kahriman E, Akça Z. On the Complete (k,2)- arcs of the Hall plane of order 9. International Journal of Advanced Research in Computer Science and Software Engineering, 2016; 6-10: 282–288
  6. Panella, G. Una Classe Di Sistemi Cartesiani. Atti Della Accademia Nazionale Lincei Rendiconti, 1965; 38; 480-485.