Math 30810 Honors Algebra III (Fall 2019)
Groups and Rings
| Due | Set | Topics |
| Wed 9/11 in class | Homework 1 | Linear algebra, composition laws |
| Wed 9/18 in class | Homework 2 | Groups and their subgroups, composition laws. |
| Wed 9/25 in class | Homework 3 | Subgroups, cyclic groups, exponentials, orders of elements. |
| Wed 10/2 in class | Homework 4 | Subgroups, orders, homomorphisms |
| Wed 10/9 in class | Midterm 1 | Orders of elements, subgroups, cosets, modular arithmetic |
| Wed 10/16 in class | Homework 6 | Modular arithmetic, permutation groups |
| Wed 10/30 in class | Homework 7 | Normal groups, modular arithmetic, permutation groups |
| Wed 11/6 in class | Homework 8 | Generators, permutation groups, semidirect products, automorphisms |
| Wed 11/13 in class | Homework 9 | Group actions, orbits, stabilizers, conjugacy classes. |
| Wed 11/20 in class | Midterm 2 | Group actions, semidirect products, homs, automorphisms, orbits, conjugacy classes |
| Wed 12/4 in class | Homework 11 | Conjugacy classes, class equations, abelianizations, rings. |
| Wed 12/11 in class | Homework 12 | |
| Wed 12/18 | Final |
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