On normally embedded subgroups of finite groups and cp- condition
Other Title(s)
حول الزمر الجزئية طبيعية الدمج في الزمر المنتهية و الشرط Cp
Dissertant
Thesis advisor
Comitee Members
Abu Salim, Ahmad Mahmud
Handam, Ali
al-Ruhayl, Ahmad
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2011
English Abstract
A group G satisfies the condition Cp (where p is a prime) if every subgroup of a Sylow p-subgroup P of G is normal in the normalizer of P.
A subgroup U of G is called p-normally embedded in G if a Sylow p-subgroup of U is a Sylow p—subgroup of some normal subgroup NofG.
In this thesis we prove that a finite group G satisfies the Cp condition for all primes p if and only if every p-subgroup of G is p-normally embedded in G.
Main Subjects
Topics
No. of Pages
38
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : preliminaries and basic concepts.
Chapter Two : solvable 7-group and pro normal subgroups.
Chapter Three : cp-group and normally embedded.
References.
American Psychological Association (APA)
al-Hijjawi, Sumayyah Ismail. (2011). On normally embedded subgroups of finite groups and cp- condition. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321198
Modern Language Association (MLA)
al-Hijjawi, Sumayyah Ismail. On normally embedded subgroups of finite groups and cp- condition. (Master's theses Theses and Dissertations Master). Al albayt University. (2011).
https://search.emarefa.net/detail/BIM-321198
American Medical Association (AMA)
al-Hijjawi, Sumayyah Ismail. (2011). On normally embedded subgroups of finite groups and cp- condition. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321198
Language
English
Data Type
Arab Theses
Record ID
BIM-321198
