Transformation Groups in Geometry
Course code
MLM6208.DT
old course code
MLM6208
Course title in Estonian
Teisenduste rühmad geomeetrias
Course title in English
Transformation Groups in Geometry
ECTS credits
3.0
Assessment form
Examination
lecturer of 2024/2025 Autumn semester
Not opened for teaching. Click the study programme link below to see the nominal division schedule.
lecturer of 2024/2025 Spring semester
Not opened for teaching. Click the study programme link below to see the nominal division schedule.
Course aims
Major. To introduce important elements from group theory and to show their usage in geometry. To show how geometries depending on the acting group.
Brief description of the course
Definition of a group. Substitution groups. Symmetry groups of regular polygons. Regular polyhedrons and their symmetry groups. Homomorphism and isomorphism of groups. Subgroups, normal subgroup and factor group. Matrix group, general linear group and orthogonal group. Transformations of frame. Groups of translations, rotations, moves and isometrics. Group of affine transformations on the plane. Inversion and conform transformations. Kleins programm.
Teacher
dots Mati Väljas, assist T.Gramušnjak
Prerequisite course 1