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Combinatorial Group Theory, SS 2019
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Course: |
Tuesdays, 14:15 - 15:45 Uhr, Geomatikum H5, |
Thursdays, 16:15 - 17:45 Uhr, Geomatikum H3 |
Exercises: |
Thursdays, 12:15 - 13:45, Room 142. |
Prerequisites
The only prerequisite of the course is some basic group theory. A good book for that would be (the first chapters of) Scott's "Group Theory". Another option would be the first chapters of "Introduction to group theory" by Bogopolski. This book's final chapters are also more relevant to the material of the course.
Organization of the course
There will be lecture notes for the course, which will be uploaded (progressively) in STiNe. Exercise sessions will take place (approximately) every week. Some good references for the course are "Groups acting on graphs" by Dicks & Dunwoody and "Introduction to group theory" by Bogopolski.
Exercises
Due to 09.04.2019: Exercises 2.4.1, 2.4.3, 2.4.4, 2.4.5, 2.4.7 |
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Due to 16.04.2019: Exercises 2.4.10, 2.4.11, 2.4.12, 2.4.15, 2.4.16 from the updated lecture notes. |
Due to 23.04.2019: Exercises 2.4.13, 2.4.18, 3.7.1, 3.7.2, 3.7.3. |
Due to 30.04.2019: Exercises 3.7.6, 3.7.7 (2), 3.7.4, 3.7.8, 3.7.12. |
Due to 07.05.2019: Exercises 3.7.13, 3.7.14, 3.7.15 from the old lecture notes or 3.8.16, 3.8.17, 3.8.18 from the updated lecture notes. Additionally, 3.8.15 (only exists in the updated lecture notes). |
Due to 14.05.2019: Exercises 4.5.1, 4.5.3, 4.5.8, 4.5.10. |
Due to 21.05.2019: Exercises 4.5.17, 4.5.18, 4.5.19. |
Due to 04.06.2019: Exercises 4.5.13 (1), 4.5.20, 4.5.21, 4.5.22, 4.5.23. |
Due to 18.06.2019: Exercises 2 and 3 from Chapter 5 for the moment. |
Due to 25.06.2019: Exercises 5.6.1, 5.6.7., 5.6.12. Additionally, the following: "Let f:(Γ_1,v_1) ---> (Γ_2,v_2) be a locally injective morphism. Show there is an injective homomorphism from π_1(Γ_1,v_1) to π_1(Γ_2,v_2)." |
Due to 09.07.2019: Exercises 5.6.12, 5.6.13, 5.6.21 from the updated lecture notes. |
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