Subgroups and Orbits by Companion Matrix in Three Dimensional Projective Space

Author:

Al-Zangana Emad BakrORCID,Yahya Nada Yassen KasmORCID

Abstract

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

Publisher

College of Science for Women

Subject

General Physics and Astronomy,Agricultural and Biological Sciences (miscellaneous),General Biochemistry, Genetics and Molecular Biology,General Mathematics,General Chemistry,General Computer Science

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Lower Bound for Complete (k,n)-arc in PG(3,23);BIO Web of Conferences;2024

2. New results for construction codes arised from K – Span in PG(3,17);4TH INTERNATIONAL SCIENTIFIC CONFERENCE OF ALKAFEEL UNIVERSITY (ISCKU 2022);2023

3. Construction of Complete (k;r)-Arcs from Orbits in PG(3,11);Al-Mustansiriyah Journal of Science;2022-09-25

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