Pedal Sets of Unitals in Projective Planes of Order 16

GEZEK, Mustafa

doi:10.33401/fujma.1025044

Pedal Sets of Unitals in Projective Planes of Order 16

Mustafa GEZEK (Tekirdağ Namık Kemal Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Tekirdağ, Türkiye)

Fundamental journal of mathematics and applications (Online)

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Yıl: 2022 Cilt: 5 Sayı: 3 Sayfa Aralığı: 152 - 159 Metin Dili: İngilizce DOI: 10.33401/fujma.1025044 İndeks Tarihi: 23-09-2022

Pedal Sets of Unitals in Projective Planes of Order 16

Öz:

In this article, we perform computer searches for pedal sets of all known unitals in the known planes of order 16. Special points of unitals having at least one special tangent are studied in detail. It is shown that unitals without special points exist. Open problems regarding the computational results presented in this study are discussed. A conjecture about the numbers of line types of an unital $U$ and its dual unital $U^perp$ is formulated.

Anahtar Kelime: Pedal set Projective plane Unital

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	GEZEK M (2022). Pedal Sets of Unitals in Projective Planes of Order 16. , 152 - 159. 10.33401/fujma.1025044
Chicago	GEZEK Mustafa Pedal Sets of Unitals in Projective Planes of Order 16. (2022): 152 - 159. 10.33401/fujma.1025044
MLA	GEZEK Mustafa Pedal Sets of Unitals in Projective Planes of Order 16. , 2022, ss.152 - 159. 10.33401/fujma.1025044
AMA	GEZEK M Pedal Sets of Unitals in Projective Planes of Order 16. . 2022; 152 - 159. 10.33401/fujma.1025044
Vancouver	GEZEK M Pedal Sets of Unitals in Projective Planes of Order 16. . 2022; 152 - 159. 10.33401/fujma.1025044
IEEE	GEZEK M "Pedal Sets of Unitals in Projective Planes of Order 16." , ss.152 - 159, 2022. 10.33401/fujma.1025044
ISNAD	GEZEK, Mustafa. "Pedal Sets of Unitals in Projective Planes of Order 16". (2022), 152-159. https://doi.org/10.33401/fujma.1025044

APA	GEZEK M (2022). Pedal Sets of Unitals in Projective Planes of Order 16. Fundamental journal of mathematics and applications (Online), 5(3), 152 - 159. 10.33401/fujma.1025044
Chicago	GEZEK Mustafa Pedal Sets of Unitals in Projective Planes of Order 16. Fundamental journal of mathematics and applications (Online) 5, no.3 (2022): 152 - 159. 10.33401/fujma.1025044
MLA	GEZEK Mustafa Pedal Sets of Unitals in Projective Planes of Order 16. Fundamental journal of mathematics and applications (Online), vol.5, no.3, 2022, ss.152 - 159. 10.33401/fujma.1025044
AMA	GEZEK M Pedal Sets of Unitals in Projective Planes of Order 16. Fundamental journal of mathematics and applications (Online). 2022; 5(3): 152 - 159. 10.33401/fujma.1025044
Vancouver	GEZEK M Pedal Sets of Unitals in Projective Planes of Order 16. Fundamental journal of mathematics and applications (Online). 2022; 5(3): 152 - 159. 10.33401/fujma.1025044
IEEE	GEZEK M "Pedal Sets of Unitals in Projective Planes of Order 16." Fundamental journal of mathematics and applications (Online), 5, ss.152 - 159, 2022. 10.33401/fujma.1025044
ISNAD	GEZEK, Mustafa. "Pedal Sets of Unitals in Projective Planes of Order 16". Fundamental journal of mathematics and applications (Online) 5/3 (2022), 152-159. https://doi.org/10.33401/fujma.1025044