On finite F-groups
Other Title(s)
حول F- زمر منتهية
Dissertant
Thesis advisor
Comitee Members
Khashshan, Hani Abd al-Aziz
Handam, Ali
al-Ayyub, Ibrahim
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2012
English Abstract
In this thesis we introduce a new class of group which we call an F-group and we give some algebraic properties for the groups. We call a subgroup H of a group G is called an / -subgroup if H IHG is abelain, where HG is normal core of H in G.
A group G is called an F -group if every subgroup of G is an / -subgroup.
In this thesis we prove that subgroups and factor groups of F-groups are F-groups.
Also every finite F-group is solvable group and proves that the direct product an F-group with relatively prime orders is an F-group.
Moreover, we construct an example to show that a direct product of groups with orders not relatively prime may not be an F-group..
Main Subjects
Topics
No. of Pages
29
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : preliminaries and basic concept.
Chapter Two : nilpotent and group of small order.
Chapter Three : F-group and examples.
References.
American Psychological Association (APA)
al-Shar, Ishraq Badr. (2012). On finite F-groups. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-322011
Modern Language Association (MLA)
al-Shar, Ishraq Badr. On finite F-groups. (Master's theses Theses and Dissertations Master). Al albayt University. (2012).
https://search.emarefa.net/detail/BIM-322011
American Medical Association (AMA)
al-Shar, Ishraq Badr. (2012). On finite F-groups. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-322011
Language
English
Data Type
Arab Theses
Record ID
BIM-322011
