Math 30810 Honors Algebra III (Fall 2016)
Groups and Rings
Due | Set | Solutions | Topics |
Thu 9/1 in my mailbox | Homework 1 | Solutions | Linear algebra |
Thu 9/8 in my mailbox | Homework 2 | Solutions | Groups and their subgroups, the integers. |
Thu 9/15 in my mailbox | Homework 3 | Solutions | Subgroups, cyclic groups, exponentials, orders of elements. |
Thu 9/22 in my mailbox | Homework 4 | Solutions | End, Aut, Inn, centers, normal subgroups |
Thu 9/29 in my mailbox | Homework 5 | Solutions | Orders of elements, groups of particular orders, cosets, subgroups |
Thu 10/6 in my mailbox | Homework 6 | Solutions | Orders of elements, modular arithmetic, permutation groups |
Thu 10/13 in my mailbox | Homework 7 | Solutions | Normal groups, modular arithmetic, permutation groups, semidirect product |
Thu 10/27 in my mailbox | Homework 8 | Solutions | Generators, permutation groups, semidirect products, automorphisms |
Thu 11/3 in my mailbox | Homework 9 | Solutions | Group actions, orbits, stabilizers, conjugacy classes. |
Thu 11/10 in my mailbox | Homework 10 | Solutions | Group actions, orbits, conjugacy classes. |
Thu 11/17 in my mailbox | Homework 11 | Solutions | Conjugacy classes, class equations, rings and fraction fields. |
Thu 12/1 in my mailbox | Homework 12 | Solutions | Rings, ideals, quotients. |
Thu 12/8 in my mailbox | Homework 13 | Solutions | Ideals, Euclidean domains, prime elements. |
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