Semifields of order q4, q even

Other Title(s)

حول اشباه الحقول من الرتبة q4، حيث قوة لعدد زوجي و تقبل زمرا تشاك ذاتي حرة من الدرجة 4 و مشاكلة مع Z2 X Z2

Dissertant

al-Nuti, Raid Ismail

Thesis advisor

Bani Ata, Mashhur

Comitee Members

al-Butush, Ratib Hamid
Furah, Ali Ahmad
al-Warikat, Fawwaz Dujan

University

Mutah University

Faculty

Faculty of Science

Department

Department of Mathematics and Statistics

University Country

Jordan

Degree

Ph.D.

Degree Date

2005

English Abstract

Semi fields of order g4, q even, were studied by several authors (Boerner, 1986), (Cordero, 1993), (Knuth, 1965) and (Al Ali, 2004).

In this thesis semi field of order g4, q even, admitting a free auto Orphisms group isomorphic to Z < i x Z < i were examined.

Further properties of semi fields were also studied such as nuclei and their spreads.

We have proved some results related to the translations of an affine plane and the collimation group of an affine plane, and the nuclei of various types of Semifileds have been constructed.

Main Subjects

Mathematics

Topics

No. of Pages

42

Table of Contents

Table of contents.

Abstract.

Chapter one : Preliminaries and review of earlier studies.

Chapter two : The translation planes.

Chapter three : The classification of semi fields.

Chapter four : The nuclei of semi fields of order.

References.

American Psychological Association (APA)

al-Nuti, Raid Ismail. (2005). Semifields of order q4, q even. (Doctoral dissertations Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-306794

Modern Language Association (MLA)

al-Nuti, Raid Ismail. Semifields of order q4, q even. (Doctoral dissertations Theses and Dissertations Master). Mutah University. (2005).
https://search.emarefa.net/detail/BIM-306794

American Medical Association (AMA)

al-Nuti, Raid Ismail. (2005). Semifields of order q4, q even. (Doctoral dissertations Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-306794

Language

English

Data Type

Arab Theses

Record ID

BIM-306794