Algebra DSBA 2018/2019 — различия между версиями

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(Consultations schedule)
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mednik at mccme.ru
 
mednik at mccme.ru
 
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|| Assistant || [https://t.me/Danlark Danila Kutenin] kutdanila@yandex.ru || [https://t.me/max_the_human Maksim Siplivyj] maxsev1999@yandex.ru || [https://t.me/isadrtdinov Ildus Sadrtdinov]
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|| Assistant || [https://t.me/Danlark Danila Kutenin] kutdanila at yandex.ru || [https://t.me/max_the_human Maksim Siplivyj] maxsev1999@yandex.ru || [https://t.me/isadrtdinov Ildus Sadrtdinov]
 
irsadrtdinov@edu.hse.ru
 
irsadrtdinov@edu.hse.ru
 
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Версия 14:30, 12 апреля 2019

Teachers and assistants

Группа 181 182 183
Lecturer Ivan Arzhantsev
Teacher Ivan Arzhantsev Roman Avdeev Nikita Medved

mednik at mccme.ru

Assistant Danila Kutenin kutdanila at yandex.ru Maksim Siplivyj maxsev1999@yandex.ru 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 16:40–18:00, room 623 18:10 (if you write me beforehand)
4
Danila Kutenin 12:00-13:00, room (each time telegram announcement)
5
Maksim Siplivyj 16:40–18:00
6
Ildus Sadrtdinov 16:40–18:00

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.

Lecture 2 (9.04.2019). Lagrange's theorem and its corollaries. Normal subgroups. Homomorphisms and isomorphisms. A classification of cyclic groups. Factor groups and the Homomorphism theorem.

Problem sheets

The Nth problem sheet contains the Nth homework.

Problems to lecture 1

Problems to lecture 2

Written test

Exam

The exam will be oral.

Results

181 182 183

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