Per mutably embedded subgroups of finite groups
Other Title(s)
الزمرة الجزئية المدمجة تبادليا من الزمر المنتهية
Dissertant
Thesis advisor
Comitee Members
Sulayman, Ibrahim
Abu Salim, Ahmad Mahmud
Handam, Ali
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2010
English Abstract
All groups considered are finite.
A subgroup U of a group G is said to be permutably embedded in G, if each sylow subgroup of U is sylow subgroup of some permutable subgroup inG.
The main problem in this thesis is to study the internal structure of a finite group using the permutably embedded property for some subgroups.
In particular we prove that the following statements are equivalent 1.
Every p-subgroup of G is permutably embedded in G.
2.
Every subgroup of G is permutably embedded inG for every prime dividing the order of F *(G).
3.
Each subgroup of G is permutably embedded in G.
Main Subjects
Topics
No. of Pages
43
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : preliminaries.
Chapter Two : group construction and some group classes.
Chapter Three : per mutably embedded subgroups of finite groups.
References.
American Psychological Association (APA)
al-Khawlidah, Fadil Talib. (2010). Per mutably embedded subgroups of finite groups. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321144
Modern Language Association (MLA)
al-Khawlidah, Fadil Talib. Per mutably embedded subgroups of finite groups. (Master's theses Theses and Dissertations Master). Al albayt University. (2010).
https://search.emarefa.net/detail/BIM-321144
American Medical Association (AMA)
al-Khawlidah, Fadil Talib. (2010). Per mutably embedded subgroups of finite groups. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321144
Language
English
Data Type
Arab Theses
Record ID
BIM-321144
