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Deanship of Graduate Studies
Document Details
Document Type
:
Thesis
Document Title
:
On the structure of finite groups
على بنية الزمر المنتهية
Subject
:
Faculty of Sciences > mathematics department
Document Language
:
Arabic
Abstract
:
Let G be a finite group. We say that Z is a complete set of Sylow subgroups of G if for each prime p dividing the order of G, Z contains exactly one Sylow p-subgroup of G. Let C be a nonempty subset of G. A subgroup H of G is said to be C-Z-permutable (conjugate-Z-permutable) subgroup of G if there exists some x ∈ C such that HxGp = GpHx, for all Gp ∈ Z. The main purpose of this thesis is to determine the structure of a finite group G under the assumption that the minimal subgroups and the cyclic subgroups of order 4 of G are C-Z-permutable in G. The results of this thesis will improve and generalize several recent results in the literature.
Supervisor
:
Prof. Dr. Abd El Rahman A. Heliel
Thesis Type
:
Master Thesis
Publishing Year
:
1437 AH
2016 AD
Added Date
:
Tuesday, February 9, 2016
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
مي جميل دفتردار
Dafterdar, May Jameel
Researcher
Master
Files
File Name
Type
Description
38257.pdf
pdf
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