



The exam question lists are now available here (Algebra I) and here (Algebra II).
Information about the exam question lists:
Students who wish to reschedule their exam for valid studyrelated reasons (e.g. early semester start, student visa issues, study project etc.) should contact the coordinator (jennifer.jakob at math.ethz.ch) as soon as possible.
The exercise class taught by Ajith Urundolil Kumaran is now in English.
A copy of this year's midterm can be found here, the answers are here.
The voluntary midterm exam will take place on the first Friday of the spring semester, in the usual slot of the lecture.
The first lecture of the semester will be on Monday, the 18th of February 2019, 8:0010:00 in the usual lecture hall (HG G5). Note also that the first lecture of the topology class has been moved to 1011, see here.
The exercise classes start in the second week of the semester.
The two main references for the course are
The new exercises will be posted here on Fridays. We expect you to look at the problems over the weekend and to prepare questions for the exercise class on Wednesday (or Tuesday). Please hand in your solutions by the following Friday at 12:00 in your assistant's box in HG J68. They will usually be corrected and returned in the following exercise class or, if not collected, returned to the box in HG J68.
week  material covered (page numbers: see main reference)  exercise sheet  due by  solutions 

1  The automorphism group of a field extension, solution of the cubic (Rotman: A1, pp 36, A5.1,5.2,5.3 and other examples, pp 179181; Artin: Ch.II, Section F, pp 3438).  A15  March 1  S15 
2  Characters, fixed fields, solution of the quartic, (Rotman: A1, pp 68, A5.38,5.39,5.40, pp 203205; Artin: Ch.II, Section F, pp 3438).  A16  March 8  S16 
3  Fixed fields, Galois extensions, (Rotman: A5.38,5.39,5.40, pp 203205; Artin: Ch.II, Sections GH, pp 3949).  A17  March 15  S17 
4  Characterizations of Galois extensions, Normal field extensions, (Rotman: A5.42, page 206; Artin: Ch.II, Sections GH, pp 3949).  A18  March 22  S18 
5  Fundamental Theorem of Galois theory (Rotman: A5.44,5.45,5.51,5.54, pp 207,211213; Artin: Ch.II, Section H, pp 4149).  A19  March 29  S19 
6  Solvability by radicals (Rotman: A5.55,5.56,5.62,5.63,5.64, pp 214,218219; Artin: Ch.III, Section D, pp 7476).  A20  April 05  S20 
7  Constructions with straightedge and compass. See notes, as well as N. Jacobson, Basic Algebra I, 2nd edition: Section 4.2.  A21*  April 12  S21 
8  Solvable groups, solvability by radicals. (Rotman: A5.22,5.23,5.25,5.33,5.34, pp 192195,200201; Artin: Ch.III, Section D, pp 7476).  A22  April 19  S22 
9  Constructible polygons, cyclotomic polynomials, cyclotomic field extensions (Jacobson: Section 4.11).  A23**  May 10  S23 
10  Constructible polygons, cyclotomic polynomials, cyclotomic field extensions (Jacobson: Section 4.11).  A24  May 17  S24 
11  Primitive Element Theorem, Wedderburn's Little Theorem. (Rotman: A5.54,5.55,5.56, pp 213215; Artin: Ch.II, Section M, pp 6466; Jacobson: Section 7.7).  A25  May 24  S25 
12/13  Linear representations of finite groups. (J.P. Serre: Linear representations of finite groups, GTM 42, Sections 1.11.4 (Week 12), Sections 2.12.4 (Week 13)).  A26  No handin  S26 
** added a hint in Exercise 3
Please enroll in one of the exercise classes via echo.
time  room  assistant  language 

Tue 1517  ETZ E 7  Alireza Ataei  en 
Wed 1012  CLA E 4  Ajith Urundolil Kumaran  en 
Wed 1012  HG E 33.1  Emie Sun  en 
Wed 1012  HG F 26.5  TimHenrik Buelles  en 
Wed 1012  LFW E 13  Dominique Heyn  en 
Wed 1012  ML F 40  Yujie Wu  en 
For general information on the course, check the Course Catalogue.