370 Honours Algebra 2009
Course Page
Midterm, Wed, Oct 14, 17:00-19:00, Burn
920
Office hours: MW 14:00-15:00
Assignment 1, Due Oct 2, (from the Artin Book)
2.4.20; 2.4.21: 2.8.9; 2.8.11; 2.10.10
Assignment
2: Artin's Chapter 5
2.14; 3.3; 4.10; 4.20; 5.7; 8.8
due Oct 12 (three randomly choosen
problems will be marked)
Assignment 5, Due Dec 1.
Chapter 12,
Section 6, # 3 (b), (c), # 4.
Solutions to assignment
5,
part 1
Solutions to assignment 4, part 2
Wallpaper groups program by R. Adams
Schedule:
Sep. 2-9: Groups, subgroups, homomorphisms,
normal subgroups, examples.
Sep. 11: Symmetric and alternating
groups. The center and the derived subgroup. Cosets and
Lagrange's theorem
Sep.
14: Quotients and the three isomorphism theorems.
Sep. 16: Correspondence between subgroups of $G$
containing ker f and the quotient group $G/ker f$
Oct. 26, 28, 30: Subgroups of a free group. The graph-theoretic tools for free groups (notes
of A.Tomberg)
Nov 2: The Todd- Coxeter algorithm.
Nov 4-16 Artin, Chapter 8, Sections 1-3. The
classical linear groups, SU_2 as S^3, latitures, longitudes. The
orthogonal representation of SU_2.
Nov 18 - Dec 1. Modules and abelian groups (Chapter 12)