UPPSALA UNIVERSITET
MATEMATISKA INSTITUTIONEN
Walter Mazorchuk,
Room 74105, 
Tel. (018) 471-3284, e-mail: mazor@math.uu.se

Algebraic structures  HT2024
Preliminary Schedule

nr  topic                                     chapter in [G]

1   Groups and subgroups                          I.1 I.3
2   Cosets and homomorphisms                      I.4 I.5
3   Normal subgroups and quotients                I.4
4   Group actions                                 II.3
5   Burnside's lemma                              II.3
6   Problem solving
7   Free groups and presentations                 I.7 I.8
8   Finite abelian groups                         VIII.6
9   Fintiely generated abelian groups             VIII.6
10  Sylow theorems                                II.5
11  Solvable groups                               II.9
12  Problem solving
13  Ring miscellanea                              III
14  Fields and characteristic                     IV.1
15  Field extensions                              IV
16  Splitting fields                              V.1
17  Automorphisms and Galois group                V.3
18  Problem solving
19  Fundamental theorem of Galois theory          V.3  
20  Computation of Galois group                   V.3
21  Finite fields                                 V
22  Radical and cyclotomic extensions             V.8
23  Ruler and compass constructions               V.9     
24  Problem solving
25  Oral Examination

Course webpage: http://www2.math.uu.se/%7Emazor/teaching.html

YouTube Lectures: https://www.youtube.com/channel/UCPWnhR29VHTAk7rZUEDQdDQ 

Literature: [G] Grillet, Pierre A., Abstract algebra, 2. ed., 
New York, Springer, 2007

Asignments: During the course four assignments  will be distributed. 
Each assignment will consist of several problems giving the total of 
40 points for the whole assignment. Solutions should be returned about 
a weak later. 30 or more points convert into 2 credits and 
20 to 29 points into 1 credit for the final examination. So, in total,
one can get at most 8 credits from the assignments. The credits 
are only valid if they are certified by the oral examination at the end
of the course.

Oral examination: Takes place during the last lecture and 
addresses justification of assignment solutions. As a result of it,
some of the credits obtained for the assignment can be withdrawn.

Examination: A written examination will take place at the end
of the course (preliminary, in January 2025).
It will consists of several problems for which you can collect a
maximum of 32 credits. To pass one needs 18 credits (including
the certified credits from the assignments). For mark 4 one needs 25 
credits (including the certified credits from the assignments). For 
mark 5 one needs 32 credits (including the certified credits from 
the assignments).

Recordnings: Please do not make any photos, any video and
any audio recordings during the lectures.