Algebra 1, Fall semester 2022


The courses will be held on Mondays 14.15-15.45 in room T604.

The syllabus can be found here.

Midterms

There will be two midterms on the 17th of October and on the 28th of November.


Problem sheets:

#1 (Introduction to Group Theory, 05.09.2022.)

#2 (Groups and subgroups, 12.09.2022.)

#3 (Homomorphisms and Lagrange’s theorem, 19.09.2022.)

#4 (Cosets and normal subgroups, 26.09.2022.)

#5 (Symmetric groups, quotient groups and direct products, 03.10.2022.)

#6 (Centralizers, normalizers and commutators, 10.10.2022.)

#7 (Group actions and Sylow theorems, 24.10.2022.)

#8 (Rings -- definitions and basic properties, 07.11.2022.)

#9 (Ideals factor rings and chain conditions, 14.11.2022.)

#10 (Primes, irreducibles and UFDs, 21.11.2022.)


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