Semiovals contained in the union of three concurrent lines

Blokhuis, Aart (author), Kiss, György (author), Kovács, István (author), Malnič, Aleksander (author), Marušič, Dragan (author), Ruff, János (author)

Članek obravnava semiovale vsebovane v uniji treh sovpadnih premic, to je premic s skupnim presečiščem. Vpeljemo pojem krepkih semiovalov in podamo popolno klasifikacijo tovrstnih matematičnih objektov v PG▫$(2,p)$▫ in ▫$PG(2,p^2)$▫, kjer je ▫$p$▫ liho praštevilo.

• Language: English
• Keywords: mathematics, semioval, group factorization
• Work type: Not categorized
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education
• Year: 2007
• Number of pages: Str. 491-501
• Numbering: Vol. 15, iss. 6
• PID: 20.500.12556/RUL-84775
• UDC: 514.14:519.1
• ISSN on article: 1063-8539
• COBISS.SI-ID: 14385753
• Publication date in RUL: 09.09.2016

Record is a part of a journal

• Title: Journal of combinatorial designs
• Shortened title: J. comb. des.
• Publisher: J. Wiley & Sons
• ISSN: 1063-8539
• COBISS.SI-ID: 15158021

Secondary language

• Language: Slovenian
• Title: Semiovali vsebovani v uniji treh sovpadnih premic

Abstract

Semiovals which are contained in the union of three concurrent lines are studied. The notion of a strong semioval is introduced, and a complete classification of these objects in PG▫$(2,p)$▫ and PG▫$(2,p^2)$▫, ▫$p$▫ an odd prime, is given.

• Keywords: matematika, semioval, faktorizacija grup