On normal index of maximal subgroup of finite groups
Dissertant
Thesis advisor
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
1995
English Abstract
The main aim of this thesis is generalizes the theory of indices to the normal indices.
We prove that if a finite group G contain a supersolvable maximal subgroup M such that the normal index of M in G is prime and the Fitting subgroup F(G) is not contained in M, Then G is Supersolvable. Moreover, we determine the ^-solvability of a finite group G depending on some conditions that the normal index satisfies. Finally, we study some subgroups concentrating on the relationship between the normal index and the structure of the group itself.
Main Subjects
Topics
No. of Pages
45
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : elementary of finite group theory.
Chapter Two : maximal subgroups and normal index.
Chapter Three : normal index and generalized solvability.
References.
American Psychological Association (APA)
al-Abd, Shuja Ali Muhammad. (1995). On normal index of maximal subgroup of finite groups. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-311556
Modern Language Association (MLA)
al-Abd, Shuja Ali Muhammad. On normal index of maximal subgroup of finite groups. (Master's theses Theses and Dissertations Master). Al albayt University. (1995).
https://search.emarefa.net/detail/BIM-311556
American Medical Association (AMA)
al-Abd, Shuja Ali Muhammad. (1995). On normal index of maximal subgroup of finite groups. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-311556
Language
English
Data Type
Arab Theses
Record ID
BIM-311556
