Math 30810 Honors Algebra III (Fall 2021)
Groups and Rings
| Due | Set | Topics |
| Wed 9/8 in class | Homework 1 | Linear algebra, composition laws |
| Wed 9/15 in class | Homework 2 | Groups and their subgroups, composition laws, integers and divisibility. |
| Wed 9/22 in class | Homework 3 | Subgroups, orders of elements, conjugacy, equivalence relations, homomorphisms. |
| Wed 9/29 in class | Homework 4 | Normal subgroups, homomorphisms |
| Wed 10/13 in class | Homework 5 | Orders of elements, subgroups, cosets, modular arithmetic |
| Wed 10/27 in class | Homework 6 | Modular arithmetic, automorphism groups, isomorphism theorems |
| Wed 11/3 in class | Homework 7 | Generators, dihedral groups, permutation groups |
| Wed 11/10 in class | Midterm 2 | Generators, permutation groups, normal subgroups, automorphisms |
| Wed 11/17 in class | Homework 8 | Symmetric groups, group actions, orbits, stabilizers, conjugacy classes. |
| Wed 12/1 in class | Homework 9 | Group actions, Sylow theorems |
| Wed 12/8 in class | Homework 10 | Rings, homomorphisms, ideals. |
The design of this webpage is based on the MIT course web page template.
