Open AccessPartitions on Finite Projective Lines
Author(s) -
Najm Abdulzahra Makhrib Al-Seraji,
Ahmed Bakheet,
Zainab Sadiq Jafar
Publication year - 2019
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.0258-2724.54.6.56
Subject(s) - conic section , mathematics , projective line , disjoint sets , projective plane , line (geometry) , invertible matrix , combinatorics , order (exchange) , group (periodic table) , projective space , pure mathematics , projective test , discrete mathematics , algebra over a field , geometry , physics , finance , quantum mechanics , economics , correlation
The goal of this paper is to split the finite projective line into disjoint sublines by method of subgeometries where the order of line is not a prime number. The correspondence between the points on a line and the points on a conic has been described. The stabilizer group of some lines has been constructed using the fundamental theory of projective lines. All calculations are done using the GAP program. Also primitive polynomials over Galois filed are classified. Some examples with groups which are the fixed points of lines and study the properties of these groups are introduced. The nonsingular matrices which generate the points of conic and belong to groups of projectivities have been constructed.