Subgroups and Orbits by Companion Matrix in Three Dimensional Projective Space

Authors

Emad Bakr Al-Zangana, Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq.Follow
Nada Yassen Kasm Yahya, Department of Mathematics, College of Education for Pure Science, Mosul University, Mosul, Iraq.Follow

Abstract

The aim of this paper is to construct cyclic subgroups of the projective general linear group over F23 from the companion matrix, and then form caps of various degrees in PG(3,23). Geometric properties of these caps as secant distributions and index distributions are given and determined if they are complete. Also, partitioning of PG(3,23) into disjoint lines is discussed. .

Keywords

Cap, Companion matrix, Group action, Projective geometry, Secant

Article Type

Article

How to Cite this Article

Al-Zangana, Emad Bakr and Yahya, Nada Yassen Kasm (2022) "Subgroups and Orbits by Companion Matrix in Three Dimensional Projective Space," Baghdad Science Journal: Vol. 19: Iss. 4, Article 19.
DOI: https://doi.org/10.21123/bsj.2022.19.4.0805