On some problems of finite group theory

Other Title(s)

حول بعض المشاكل في الزمر المنتهية

Dissertant

al-Zayyud, Ali Salih

Thesis advisor

Bani Ata, Mashhur Ibrahim

Comitee Members

al-Butush, Ratib Hamid
al-Banawi, Kamal Ata Allah Salih
Hiyasat, Khalid Awad

University

Mutah University

Faculty

Faculty of Science

Department

Department of Mathematics and Statistics

University Country

Jordan

Degree

Master

Degree Date

2007

English Abstract

In this thesis we give a general and elementary approach to the Sylow r-subgroups of the orthogonal groups for prime r distinct from the describing characteristic p.

Knowing the order of the Sylow r-subgroups, it is straightforward to give an explicit construction of the Sylow r-subgroups and hence getting information on isomorphism class of the groups and on action of the underlying vector space.

Main Subjects

Mathematics

Topics

No. of Pages

32

Table of Contents

Table of contents.

Abstract.

Chapter one : introduction.

Chapter two : some application to sylow's theorem.

Chapter three : sesqiulinear form and the quadratic form.

Chapter four : a number theoretic approach to sylow r-subgroups of classical groups.

Chapter five : results and discussion.

References.

American Psychological Association (APA)

al-Zayyud, Ali Salih. (2007). On some problems of finite group theory. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-309605

Modern Language Association (MLA)

al-Zayyud, Ali Salih. On some problems of finite group theory. (Master's theses Theses and Dissertations Master). Mutah University. (2007).
https://search.emarefa.net/detail/BIM-309605

American Medical Association (AMA)

al-Zayyud, Ali Salih. (2007). On some problems of finite group theory. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-309605

Language

English

Data Type

Arab Theses

Record ID

BIM-309605