Classification and characterization of solvable and nilpotent groups

Other Title(s)

تصنيف و مميزات الزمر القابلة للحل و الزمر المتلاشية

Dissertant

al-Laymun, Lina Awwad Afnan

Thesis advisor

Sulayman, Ibrahim Abd Allah Ibrahim

University

Mutah University

Faculty

Faculty of Science

Department

Department of Mathematics and Statistics

University Country

Jordan

Degree

Master

Degree Date

2021

Arabic Abstract

في هذه الأطروحة، تمت دراسة الخصائص الأساسية للمجموعات القابلة للحل و المجموعات غير الفعالة.

نحن نطبق تقنية جديدة لبناء العلاقة بينهما و تصنيف أنواع معينة من المجموعات التي يمكن حلها أو عديمة الفعالية أو لها كلتا الخاصيتين.

English Abstract

In this thesis, basic properties of solvable groups and nilpotent groups are investigated.

We implement a new technique to construct the relationship between them and classify certain types of groups which solvable, nilpotent or have both properties.

Main Subjects

Mathematics

No. of Pages

25

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Chapter One : Introduction.

Chapter Two : Basics and preliminaries.

Chapter Three : Solvable groups.

Chapter Four : Nilpotent groups.

References.

American Psychological Association (APA)

al-Laymun, Lina Awwad Afnan. (2021). Classification and characterization of solvable and nilpotent groups. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-1332232

Modern Language Association (MLA)

al-Laymun, Lina Awwad Afnan. Classification and characterization of solvable and nilpotent groups. (Master's theses Theses and Dissertations Master). Mutah University. (2021).
https://search.emarefa.net/detail/BIM-1332232

American Medical Association (AMA)

al-Laymun, Lina Awwad Afnan. (2021). Classification and characterization of solvable and nilpotent groups. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-1332232

Language

English

Data Type

Arab Theses

Record ID

BIM-1332232