On some properties of abnormal subgroups in finite solvable groups

Dissertant

Samih, Khurshid Ahmad

Thesis advisor

al-Sharu, Khalid

Comitee Members

Sulayman, Ibrahim
Khashshan, Hani Abd al-Aziz
Abu Salim, Ahmad Mahmud

University

Al albayt University

Faculty

Faculty of Sciences

Department

Department of Mathematics

University Country

Jordan

Degree

Master

Degree Date

2010

English Abstract

A subgroup of a group is said to be pronormal in if, for every , there exists such that .and a subgroup of a group is said to be abnormal if for any .

In this thesis, we study some properties of abnormal subgroups in finite solvable groups, and we answered the questions: 1.

"Is it true that if H and K are abnormal then is abnormal too?" 2.

"Is it true that if H is pronormal subgroup then is abnormal?"

Main Subjects

Mathematics

No. of Pages

42

Table of Contents

Table of contents.

Abstract.

Introduction.

Chapter One : preliminaries.

Chapter Two : group construction and some group classes.

Chapter Three : join of two abnormal subgroups.

References.

American Psychological Association (APA)

Samih, Khurshid Ahmad. (2010). On some properties of abnormal subgroups in finite solvable groups. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-315076

Modern Language Association (MLA)

Samih, Khurshid Ahmad. On some properties of abnormal subgroups in finite solvable groups. (Master's theses Theses and Dissertations Master). Al albayt University. (2010).
https://search.emarefa.net/detail/BIM-315076

American Medical Association (AMA)

Samih, Khurshid Ahmad. (2010). On some properties of abnormal subgroups in finite solvable groups. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-315076

Language

English

Data Type

Arab Theses

Record ID

BIM-315076