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Studies > Courses >
MAT2200 - Groups, Rings and Fields
Framdriftsplan
Forventet progresjon og ukesoppgaver (sist oppdatert 11. feb.).
Week of Sections Topics Suggested problems Notes
2: 8, 10, 23, 34
19 Jan 2,3,4 Binary operations, isomorphisms, groups 3: 4, 8, 16, 27
4: 3, 9, 17, 29, 33, 35, 38, 41
5: 8, 12, 43, 45, 57
26 Jan 5,6,8 Subgroups, cyclic groups, permutation groups 6: 12, 15, 23, 34, 44
8: 6, 7, 18, 49, 53
1 Feb 9,10 Cycles & orbits. Cosets and Lagrange's theorem 9.1, 9.2, 9.3, 9.7, 9.9, 9.29, 9.33
10.4, 10.6, 10.15, 10.30, 10.37, 10.38
8 Feb 11 Direct products and finitely generated abelian groups 11.3, 11.6, 11.14e, 11.16, 11.47, 11.52 Assignment 1 posted
16 Feb 13, 14 Homomorphisms, Quotient groups 13.4,13.5, 13.46, 13.49, 14.3, 14.6, 14.34, 14.35
23 Feb 15, 16 Simple groups, group actions 15.3, 15.4, 15.5, 15.34, 15.35, 15.36, 16.1, 16.11, 16.14, 16.15 , 16.16 Assignment 1 due 26 Feb
1 Mar 17 Burnside's formula 17.1, 17.2, 17.4, 17.6 No lecture 5 Mar
8 Mar 18, 19 Rings and fields, Integral domains 18.3, 18.5, 18.11, 18.20, 18.37, 18.46, 18.47, 18.52, 19.1, 19.2, 19.3, 19.11, 19.23, 19.29
15 Mar 20, 21 Fermat's and Euler's theorems, Quotient fields 20.1, 20.5, 20.12, 20.15, 20.27, 21.1, 21.2, 21.6. 21.12, 21.14
22 Mar 22, 23 Polynomial rings, Factorisation of polynomials 22.2, 22.5, 22.12, 22.13, 22.27, 23.2, 23.5, 23.9, 23.12, 23.14, 23.18, 23.19, 23.34, 23.35 Assignment 2 posted
30 Mar Easter, no lectures
6 Apr 26, 27 Homomorphisms of rings, Prime/maximal ideals 26.1, 26.12, 26.13, 26.14, 26.25, 26.26, 26.30, 26.34, 26.35, 27.4, 27.5, 27.15, 27.16, 27.17, 27.18, 27.19, 27.28, 27.30 Assignment 2 due 9 Apr
13 Apr 29, 30 Extension fields, vector spaces. 29.1, 29.3, 29.4, 29.17, 29.18, 29.25, 30.4, 30.5, 30.6, 30.9, 30.10, 30.21
20 Apr 31, 33 Algebraic field extensions, finite fields 31.3, 31.5, 31.7, 31.11, 31.13, 31.23, 31.24, 31.29, 31.30, 33.4, 33.9, 33.10, 33.11, 33.12
27 Apr 48, 49 Automorphisms of fields, isomorphism extension theorem 48.9-14, 48.33, 48.34, 48.36, 49.1, 49.2, 49.3, 49.4, 49.5, 49.6, 49.10, 49.13
4 May 50, 51 Splitting fields, separable extensions 50.2, 50.3, 50.6, 50.7, 50.22, 50.23
11 May 53 Galois theory, Revision/exam practice 53.1-53.5, 53.11, 53.17, 53.18
18 May Revision/exam practice
Published Jan. 16, 2026 3:37 PM - Last modified Feb. 11, 2026 1:16 PM
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