Finite groups in which certain subgroups are conditionally per mutably embedded
Other Title(s)
الزمر المنتهية ذوات زمر جزئية c–تبادلية الدمج
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
2011
English Abstract
A subgroup Hof a finite group G is said to conditionally permute with a subgroup K if HKX = KXH for some x & G.
A conditionally permutable subgroup is a subgroup that conditionally permutes with every subgroup of the group.
Let p be prime number then a subgroup H is p-conditionally permutably embedded in G if a Sylow p-subgroup of H is a Sylow p-subgroup of a conditionally permutable subgroup of G, H is conditionally permutably embedded in G if H is p- conditionally permutably embedded in G for every prime p. In this thesis we study and investigate some properties of conditionally permutably embedded subgroups.
In particular, we prove that for a solvable group every maximal subgroup is conditionally permutably embedded in the group.
Main Subjects
Topics
No. of Pages
43
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : preliminaries and basic concepts.
Chapter Two : permutable and per mutably embedded subgroups of finite groups.
Chapter Three : conditionally permutable and conditionally per mutably embedded subgroups of finite groups.
References.
American Psychological Association (APA)
al-Talla, Mahmud Ali. (2011). Finite groups in which certain subgroups are conditionally per mutably embedded. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321157
Modern Language Association (MLA)
al-Talla, Mahmud Ali. Finite groups in which certain subgroups are conditionally per mutably embedded. (Master's theses Theses and Dissertations Master). Al albayt University. (2011).
https://search.emarefa.net/detail/BIM-321157
American Medical Association (AMA)
al-Talla, Mahmud Ali. (2011). Finite groups in which certain subgroups are conditionally per mutably embedded. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321157
Language
English
Data Type
Arab Theses
Record ID
BIM-321157
