Academic Catalog

MATH466 GROUPS AND GEOMETRY

Course Code:	2360466
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:	Lecturer Dr. EMÝNE YASEMÝN TALU
Offered Semester:	Fall Semesters.
Prerequisite:	Set 1: 2360367 Set 2: 2360267
One of the sets above should be completed before taking MATH466 GROUPS AND GEOMETRY .

Course Content

Symmetry. Isometrics of R?, the Euclidean group, symmetry groups of regular polygons and polyhedra, classification of finite subgroups of the three dimensional rotation group. Frieze groups, crystals, wallpaper groups, groups of acting on trees. Reflection groups, root systems, classification of finite reflection groups, crystallographic root systems and Weyl groups.