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Faculty of Sciences
Document Details
Document Type
:
Thesis
Document Title
:
FINITE SOLUBLE GROUPS GENERATED BY TWO CONJUGACY CLASSES
الزمر المتحللة المنتهية المتولدة بصفين ترافقيين
Subject
:
Mathematics
Document Language
:
Arabic
Abstract
:
In this thesis, we combine between group theory and representation theory to get some new results. If G is a finite soluble group and V is a G-module, then we try to find an upper bound for the dimension of the fixed point subspace of a subgroup of order p, where p is a prime, p > 3. Then we use these results to produce properties of the subgroups generated by the conjugates of two elements of G. Finally, if G is generated by two conjugacy classes of elements x, y in G of prime order greater than 3, then by using the Baer-Suzuki Theorem and considering other hypothesis, we prove that G can not be simple.
Supervisor
:
Dr. Abdullah Al-Roqi
Thesis Type
:
Master Thesis
Publishing Year
:
1430 AH
2009 AD
Added Date
:
Saturday, December 4, 2010
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
آلاء عبدالله الطاسان
AL-TASSAN, Alaa ABDULLAH
Researcher
Master
Files
File Name
Type
Description
28064.pdf
pdf
Abstract
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