Open AccessOn the geometric pictures of the non-equivalent smallest images of (k;n)-arcs for n = 2,3 in PG(2,5)
Author(s) -
Zainab Shehab Hamed
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1294/3/032021
Subject(s) - lexicographical order , mathematics , projective plane , combinatorics , plane (geometry) , order (exchange) , image (mathematics) , geometry , computer vision , computer science , finance , economics , correlation
In this paper, the smallest images sets in the PGL(2,5)-orbits of ( k;n )-arcs in the projective plane of order 5, for n = 2,3 are classified. Also, this paper presents the incident structure of the orbits for the non-equivalent lexicographically least sets of k -arcs and ( k ;3)-arcs. Then the geometric pictures for the most interesting group orbits of these images are given.