MATH
463
Introduction
to Group Theory
2009-2010
Fall Semester Syllabus
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Week 1 |
Basics |
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Week 2 |
Group Actions and Permutation
Representations |
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Week 3 |
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Week 4 |
Cauchy’s Theorem, Sylow Theorems and their applications |
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Week 5 |
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Week 6 |
The Jordan-Hölder Theorem |
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Week 7 |
Direct Products, Semidirect Products |
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Week 8 |
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Week 9 |
Solvable Groups |
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Week 10 |
Finite Solvable Groups |
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Week 11 |
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Week 12 |
Nilpotent Groups |
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Week 13 |
Finite Nilpotent Groups |
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Week 14 |
Matrix Groups |
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Week 15 |