Academic Catalog

MATH463 GROUP THEORY

Course Code:	2360463
METU Credit (Theoretical-Laboratory hours/week):	3(3-0)
ECTS Credit:	6.0
Department:	Mathematics
Language of Instruction:	English
Level of Study:	Undergraduate
Course Coordinator:	Prof.Dr. AHMET ÝRFAN SEVEN
Offered Semester:	Fall Semesters.
Prerequisite:	Set 1: 2360367 Set 2: 2360267
One of the sets above should be completed before taking MATH463 GROUP THEORY.

Course Content

Group, subgroup, normal subgroup, cyclic subgroup, coset, quotient group. Commutator subgroup, center, homomorphism and isomorphism theorems (invariant subgroup, wreath products), Abelian groups. Free abelian group, rank of an abelian group. Divisible abelian group, periodic Abelian group. Sylow Theorems and their applications, soluble groups, nilpotent groups.