Wednesday Sep 4 | Definition of a group |
Friday Sep 6 | subgroups |
Monday Sep 9 | cyclic and noncyclic groups |
Wednesday Sep 11 | subgroups of cyclic groups |
Friday Sep 13 | group homomorphism and isomorphisms |
Monday Sep 16 | finite cyclic groups |
Wednesday Sep 18 | generating sets for goups |
Friday Sep 20 | permutations |
Monday Sep 23 | permutations and the symmetric group |
Wednesday Sep 25 | the symmetric group |
Friday Sep 27 | the alternating group |
Monday Sep 30 | No class -- University closed |
Wednesday Oct 2 | cosets and partitions |
Friday Oct 4 | Lagrange's theorem and the index of a subgroup |
Monday Oct 7 | Dihedral Groups |
Wednesday Oct 9 | Direct products of groups |
Friday Oct 11 | Direct products of groups and the Fundamental Theorem of finitely generated abelian groups |
Monday Oct 14 | No class -- University closed |
Wednesday Oct 16 | Fundamental Theorem of finitely generated abelian groups |
Friday Oct 18 | normal subgroups |
Monday Oct 21 | cosets of normal subgroups and quotient groups |
Wednesday Oct 23 | Midterm |
Friday Oct 25 | quotient groups |
Monday Oct 28 | Review of midterm |
Wednesday Oct 30 | examples of normal subgroups, homomorphisms |
Friday Nov 1 | quotients of cyclic groups |
Monday Nov 4 | Center of a group and the commutator subgroup |
Wednesday Nov 6 | Fundamental Theorem problems |
Friday Nov 8 | Isomorphism theorems |
Monday Nov 11 | Study Break |
Wednesday Nov 13 | Study Break |
Friday Nov 15 | Study Break |
Monday Nov 18 | Group actions |
Wednesday Nov 20 | Cauchy's theorem |
Friday Nov 22 | The normalizer |
Monday Nov 25 | First Sylow Theorem |
Wednesday Nov 27 | |
Friday Nov 29 | |
Monday Dec 2 | |
Tuesday Dec 3 | |
Wednesday Dec 4 |