Algebra DSBA 2018/2019

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Teachers and assistants

Группа 181 182 183
Lecturer Ivan Arzhantsev
Teacher Ivan Arzhantsev Roman Avdeev Nikita Medved
Assistant Danila Kutenin kutdanila@yandex.ru Maksim Siplivyj Ildus Sadrtdinov

irsadrtdinov@edu.hse.ru

Consultations schedule

Teacher/Assistant Monday Tuesday Wednesday Thursday Friday
1
Ivan Arzhantsev 17:00–18:30, room 603
2
Roman Avdeev 15:40–17:40, room 623 15:40–16:30, 18:10–19:00, room 623
3
Nikita Medved
4
Danila Kutenin 12:00-13:00 room (each time telegram announcement)
5
Maksim Siplivyj
6
Ildus Sadrtdinov

Grading system

The cumulative grade is computed as follows:

C = 0,6 * H + 0,4 * T,

where H is the grade for the home assignments and T is the written test grade.

The final course grade is given by

F = 0,5 * C + 0,5 * E

where E is the final exam grade.

Grades in all formulas are rounded according to the standard rule.

Lecture abstracts

Lecture 1 (2.04.2019). Semigroups and groups: definitions and examples. Permutation groups and matrix groups. Subgroups. The order of an element and cyclic subgroups. Lagrange's Theorem and its corollaries.

Problem sheets

The Nth problem sheet contains the Nth homework.

Problems to lecture 1

Written test

Exam

The exam will be oral.

Results

Reading list

Required

  • Э.Б.Винберг. Курс алгебры. М.: МЦНМО, 2014 (English transl.: Ernest Vinberg. A Course in Algebra. Graduate Studies in Math. 56, Amer. Math. Soc., 2003)
  • Сборник задач по алгебре под редакцией А.И.Кострикина. Новое издание. М.: МЦНМО, 2015 (English transl.: Exercises in Algebra. Edited by A. Kostrikin, CRC Press, 1996)

Optional

Serge Lang. Algebra. Revised Third Edition. Graduate Texts in Math. 211, Springer, 2002