Pedal Sets of Unitals in Projective Planes of Order 16

dc.contributor.author	Gezek, Mustafa
dc.date.accessioned	2023-04-20T08:07:19Z
dc.date.available	2023-04-20T08:07:19Z
dc.date.issued	2022
dc.department	Fakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstract	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.
dc.identifier.doi	10.33401/fujma.1025044
dc.identifier.endpage	159
dc.identifier.issn	2645-8845
dc.identifier.issue	3	en_US
dc.identifier.startpage	152
dc.identifier.trdizinid	1123579
dc.identifier.uri	https://doi.org/10.33401/fujma.1025044
dc.identifier.uri	https://search.trdizin.gov.tr/yayin/detay/1123579
dc.identifier.uri	https://hdl.handle.net/20.500.11776/11248
dc.identifier.volume	5
dc.indekslendigikaynak	TR-Dizin
dc.institutionauthor	Gezek, Mustafa
dc.language.iso	en
dc.relation.ispartof	Fundamental journal of mathematics and applications (Online)
dc.relation.publicationcategory	Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı	en_US
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Pedal set
dc.subject	Projective plane
dc.subject	Unital
dc.title	Pedal Sets of Unitals in Projective Planes of Order 16
dc.type	Article

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