Document Details

Document Type : Thesis 
Document Title :
Influence of Certain Kind of Permutable Subgroups on the Structure of Finite Groups
تأثير تبادل نوع محدد من الزمر الجزئية على بنية الزمر المنتهية
 
Subject : mathematics department 
Document Language : Arabic 
Abstract : Two subgroups H and K of a finite group G are said to be permutable if HK=KH, that is, HK is a subgroup of G. Let Ʒ be a complete set of Sylow subgroups of a finite group G, that is, for each prime p dividing the order of G, Ʒ contains exactly one and only one Sylow p-subgroup of G. A subgroup H of G is said to be Ʒ-permutable subgroup of G if H permutes with every member of Ʒ. A subgroup H of a finite group G is said to be c-normal in G if there exists a normal subgroup K of G such that G=HK and H⋂K≤H_G, where H_G=⋂_(g∈G) H^g is the largest normal subgroup of G contained in H. The main objectives of this thesis are formulated as follows: To introduce a new subgroup embedding property, called weakly Ʒ-permutable, which generalizes and unifies the concepts of Ʒ-permutability and c-normality. To introduce a new subgroup embedding property, called conjugate-Ʒ-permutable, which is closely related to the concept of Ʒ-permutability. To study the structure of the finite group G under the assumption that certain subgroups of prime power orders of G are weakly Ʒ-permutable subgroups of G. conjugate-Ʒ-permutable subgroups of G 
Supervisor : 1) Dr. Abdul Rahman A. Heliel 
Thesis Type : Master Thesis 
Publishing Year : 1434 AH
2013 AD 
Co-Supervisor : 2) Dr. Mohammed Saleh Obaidallah Almestady 
Added Date : Saturday, June 15, 2013 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
طالب محسن الجفريAl-Gafri, Taleb MohsenResearcherMaster 

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