Principales of Algebra

Course Description

Binary operations, groups, subgroups ,
cyclic groups ,groups of permutations and Cayley's theorem,alternating groups , cosets and Lagrange theorem,direct product and finitely generated abelian groups,isomorphism theorems.

Course Objectives & Outcomes
The objectives of this course are to:

•  Equip student with necessary skills to know algebraic structure for some groups.
• Define binary operations, groups, subgroups, groups of permutations and alternating groups.
• Enable the student to identify the isomorphism theorem

Upon successful completion of this course, the student will be able to:

•  Identify algebraic structure of some groups.
•  Define groups, subgroups, groups of permutations and alternating groups.
• Apply Cayley's theorem and Lagrange theorem.
•  Discuss the isomorphism theorem.

References
1. J. B. Fraleight, "A first course in Abstract Algebra" Addison-Wesley Company. (12-2002), ISBN 0-321-15608-0.
2 . J. Gallian, “Contemporary Abstract Algebra” Cengage Learning, 2012, ISBN-13:978-0-547-16509-7, ISPN-10:0-547-16509-9 .

4 . د. نورة الهاجري: (٢٠٠٨) "مدخل حديث إلى البنى الجبرية"

Course ID: MATH 304