Pronormal subgroups of finite groups and some generalizations for frattini's argument
Other Title(s)
الزمر الجزئية قبل الناظمية في الزمر المنتهية و بعض التعميمات لمبرهنة فراتيني
Dissertant
Thesis advisor
Comitee Members
Mustafa, Jamal M..
Khashshan, Hani Abd al-Aziz
al-Ayyub, Ibrahim
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2010
English Abstract
A subgroup H of a group G is said to be pronormal in G if, for every g e G the subgroups H and Hg are conjugate in their join (H, Hg).
The join (H, H8) is smallest subgroup of G containing both H and Hs. The Fretting argument says that if K is a finite normal subgroup of G and P is a Sylow / subgroup of K, then G = NG (P) K.
In this thesis we introduce some properties of pronormal subgroups of finite solvable groups and we give an answer for the following question : is it true that if K is a finite normal subgroup of G and U is pronormal in K, then G = NG(U) K.
Main Subjects
Topics
No. of Pages
45
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : preliminaries.
Chapter Two : pronormal subgroups and their properties.
Chapter Three : frattini's argument and pronormal subgroups.
References.
American Psychological Association (APA)
al-Diyabat, Raja Muhammad. (2010). Pronormal subgroups of finite groups and some generalizations for frattini's argument. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321192
Modern Language Association (MLA)
al-Diyabat, Raja Muhammad. Pronormal subgroups of finite groups and some generalizations for frattini's argument. (Master's theses Theses and Dissertations Master). Al albayt University. (2010).
https://search.emarefa.net/detail/BIM-321192
American Medical Association (AMA)
al-Diyabat, Raja Muhammad. (2010). Pronormal subgroups of finite groups and some generalizations for frattini's argument. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321192
Language
English
Data Type
Arab Theses
Record ID
BIM-321192
