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Lecture notes |
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Week 1: Fundamental definitions |
Week -1 Lecture Slides |
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Week-1- Class Notes |
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Week 2 : Examples of groups |
Week-2- Lecture (Slides) |
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Week-2 Class Notes |
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Week 3: The symmetric and alternating groups. |
Week-3-Lecture Slides |
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Week -3 Class Notes |
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Week 4: Introducing cosets and conjugacy |
Week -4- Lecture Slides |
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Week 4-Class Notes |
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Week 5: Normal subgroups and quotient groups |
Week-5-Lecture Slides |
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Week 5- Class Notes |
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Week 6: The commutator subgroup; homomorphisms |
Week-6 Lecture Slides |
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Week-6 Class -Notes |
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Revision-Week-6 |
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Week 8: The isomorphism theorems |
Week-8-Lecture Slides |
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Week 9: Group actions |
Week-9- Lecture Slides |
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Week-9 Class notes |
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Week 10: The orbit-counting lemma; introduction to simple groups |
Week-10 Lecture Slides |
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Week-10 Class notes |
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Week 11: Composition series and p-groups |
Week-11-Lecture Slides |
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Week-11 Annotated slides |
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Week 12: Sylow's theorems |
Week-12 Lecture Slides |
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Week-12 Class Notes |
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Assessment 1 Information |
Assessment -1 (2023) |
Just to remind you, there were five course works assignments worth 4% each to complete during the semester last year (2023/2024 academic year). This year, in Week 7, there will only be a single, 20% weightage assessment.
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Assessment -1 (2023)-Solutions |
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Assessment - 2 (2023) |
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Assessment -2 (2023) Solutions |
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Assessment 3 -(2023) |
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Assessment -3 (2023) Solutions |
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Assessment -4 (2023) |
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Assessment -4 (2023) Solutions |
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Mid-term Assessment Sample |
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Midterm Assessment Sample solutions |
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Assessment-1 (22nd Nov-2024) |
Midterm-Mth6106 (20%) |
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Midterm-Mth6106(Solutions) |
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Midterm-Mth722P (20%) |
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Midterm-Mth722P-Solutions |
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Final Examination |
Final Exams -Mth6106 -2023 |
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Final Exams Mth6106 (2023)-Solutions |
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Final Exams-Mth6106-2024 |
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Final Exam- Mth6106-2024-Solutions |
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