Classification of the Projective Line over Galois Field of Order 31

Najm Abdulzahra Makhrib Al-Seraji; Ahmed Khallaf Essa

doi:10.24996/ijs.2023.64.4.28

Authors

Najm Abdulzahra Makhrib Al-Seraji Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq
Ahmed Khallaf Essa Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq https://orcid.org/0009-0000-7809-2265

DOI:

https://doi.org/10.24996/ijs.2023.64.4.28

Keywords:

Projective line, Stabilizer groups, Orbits

Abstract

Our research is related to the projective line over the finite field, in this paper, the main purpose is to classify the sets of size K on the projective line PG (1,31), where K = 3,…,7 the number of inequivalent K-set with stabilizer group by using the GAP Program is computed.