Grad Algebra I
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Textbook: None. All lecture notes will be posted right here. | ||
| Item | Date | Information |
|---|---|---|
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Homework 1 Solutions |
Tues Sept 15 |
Course Notes Fundamental Theorem of Galois Theory Abstract Galois Connections Posets, Lattices |
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Homework 2 Solutions |
Thurs Oct 1 |
Course Notes Lattices of Subgroups Categories, Quotients, Products First Isomorphism Theorem Semi-Direct Products |
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Homework 3 Solutions |
Tues Oct 27 |
Course Notes 2nd, 3rd Isomorphism Theorems Simple, Solvable Groups Jordan-Hölder Theorem Short Exact Sequences Unsolvability of S_n |
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Midterm Exam
Review Notes Solutions |
Thurs Oct 29 |
Total = 30 Average = 22.9 Median = 22.0 St Dev = 4.2 |
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Homework 4 Solutions |
Thurs Dec 3 |
Course Notes Functors, Natural Transformations Why Representation Theory? Fundamental Theorem of G-Sets Double Cosets, Bruhat Decomposition The Class Equation Sylow's Theorem, Kolchin's Theorem |
| Epilogue |
Course Notes Finite Simple Groups Finite Abelian Groups Primitive Root Theorem |
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Final Exam
Review Notes Solutions |
Thurs Dec 10 | 2:00-4:30pm |