Версия 13:21, 27 апреля 2022

Teachers and assistants

Consultations schedule

Grading system

The final grade is computed as follows

F = 0,3 * H + 0,3 T + 0,4 E

where H is the grade for the home assignments, T is the written test grade, and E is the final exam grade.

Only the final grade is rounded in the final formula according to the standard rule.

Lecture abstracts

Lecture 1 (08.04.2022). Binary operations. Associativity, neutral element, inverse element, commutativity. Definition of a group. Additive and multiplicative notations. Subgroups and cyclic subgroups. The order of an element of a group. Classification of cyclic groups.

Lecture 2 (15.04.2022). The subgroups of the group of integers. The subgroups of the group Z_n. Left and right cosets, examples. Normal subgroups. The Lagrange theorem and its corollaries.

Lecture 3 (22.04.2022). Homomorphisms and Isomorphisms of groups. Image and kernel of a homomorphism. Normal subgroups. Direct product of groups. Finite Abelian Groups. The Chinese Remainder Theorem. Structure of a finite abelian group.

Problem sheets

The solutions should be sent to your teaching assistant before the beginning of the next seminar. If you submit your homework after the deadline you score will be multiplied by 0.7^(t/24), where t is the amount of hours of the delay.

Seminar 1 (08.04.2022). Problems

Seminar 2 (15.04.2022). Problems

Seminar 3 (22.04.2022). Problems

Exam

Results

• Homework

• Summary Statement

Links

• Lecture Notes