Open AccessResults on the Projective Plane over a Finite Field of Order Seventeen
Author(s) -
Najm Abdulzahra Makhrib Al-Seraji,
Hussam. H. Jawad
Publication year - 2020
Publication title -
xi'nan jiaotong daxue xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.308
H-Index - 21
ISSN - 0258-2724
DOI - 10.35741/issn.0258-2724.55.2.46
Subject(s) - projective plane , blocking set , projective line , mathematics , set (abstract data type) , projective test , plane (geometry) , real projective plane , order (exchange) , field (mathematics) , line (geometry) , finite field , twisted cubic , combinatorics , domain (mathematical analysis) , pure mathematics , mathematical analysis , collineation , geometry , projective space , computer science , finance , economics , correlation , programming language
The main goal of this research is to find the projective mapping that transforms a geometric formation called an i -set onto an arc such that the domain of the mapping is a subset of the projective line PG (1,q), q=17 , such that a5-set is called a pentad, a6-set is a hexad, a7-set is a heptad, a8-set is an octad, and a9 -set is a nonad, mapped onto a conicY2-XZ. The research also aims to find the stabilizer group of points on a non-singular cubic curve, with or without rational inflection points, on the projective plane over a finite field of order seventeen, and to give some examples.