Weakly c-normally embedded subgroup of finite groups

Other Title(s)

الزمرة الجزئية المدمجة بضعف c-ناظميا في الزمر المنتهية

Dissertant

Hamdinah, Tariq Muhammad

Thesis advisor

al-Sharu, Khalid

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 H of a group G is called weakly c -normal subgroup of G if there exists a subnormal subgroup JV of G such that G = HN and H n JV < HG, where HG = C \ Hg is the largest normal core of H in G And a subgroup H of a group G is called weakly c-normally embedded in G if for every prime p divisor of \ H \, a Sylow p-subgroup of H is a Sylow p–subgroup of some weakly c -normal subgroup of G In this thesis we study the weakly c -normally embedded property for subgroups and we construct some illustrating examples.

We also establish some conditions on the group G to have the intersection of weakly c-normally embedded subgroup with any other subgroup is weakly c -normally embedded, either in the whole group G or in the other arbitrary subgroup.

Main Subjects

Mathematics

Topics

• Group theory

No. of Pages

40

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-321133