Course structure

The course is split into two parts. First part (Period 3) is about groups, the second part (Period 4) is about rings. A course plan is found here. The organized activity is done in Zoom room 670 9089 4750, password is the course code.

Lectures: Roy Skjelnes, email: skjelnes@kth.se

Tutorials: Francesca Tombari, email: tombari@kth.se

Prerequisities

SF1672 Linear algebra or equivalent, and preferably SF1681 Linear algebra, advanced course.

Literature

Thomas W. Judson, Abstract Algebra: Theory and Applications, edition 2020. This book is freely available online and also fairly inexpensive as a printed book (ca 200 SEK). Earlier years we used Frayleighs "A first course in abstract algebra", which I think is a very good book. An excellent book, covering more than the topics of the course, is Artins "Algebra".

Course administration

Answers to administrative questions, for example course registration, application to examinations, re-examinations and similar, can be found at the web pages of the Student Office. You can contact the Student Office at studentoffice@math.kth.se.

Examination

The examination is based on homework and a final written exam. A collection of earlier exams is found here. Information about registration to exam see https://www.kth.se/student/schema/tenta-och-omtentaperioder-samt-anmalningstider-1.278515

Homework sets

The course will have four sets of homework problems. Solutions are handed in electronically through Canvas, submitted as a pdf-file obtained from a LaTex source. You are allowed to discuss the problems with other students, but you need to write down your own solution.

Each homework set I, II, III, IV correspond to the problem A1, A2, A3, A4 on the final exam, respectively. Each homework set and the corresponding problem on the exam can together give at most 4 points. The points gained from the homework are valid only through the present year.

The final exam

The written exam has two parts, A and B. Part A consists of 16 points and correspond to the home assignments. Part B consists of 20 points. The grades E, D, C, B, A require are at least 16, 20, 24, 28, 32 points, respectively. Exactly 15 point score gives the intermediate grade Fx. The grade requirements are preliminary.

Support for students with disabilities

Students with disabilities may have the right to certain compensatory support for example during examination. KTH has coordinators for students with disabilities, Funka, who deals with issues relating to functional disabilities. You should turn to Funka at funka@kth.se for information about support. Course specific details can be found here.

SF1678 VT21 (60637) Grupper och ringar