Subgroups and Orbits by Companion Matrix in Three Dimensional Projective Space

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....

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Bibliographic Details
Published in:	Majallat Baghdād lil-ʻulūm Vol. 19; no. 4; p. 805
Main Authors:	Al-Zangana, Emad Bakr, Yahya, Nada Yassen Kasm
Format:	Journal Article
Language:	English
Published:	College of Science for Women, University of Baghdad 01-08-2022
Subjects:	Cap, Companion matrix, Group action, Projective geometry, Secant
Online Access:	Get full text
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Summary:	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.
ISSN:	2078-8665 2411-7986
DOI:	10.21123/bsj.2022.19.4.0805