240844 Einführung in die Galois-Theorie (V) (WiSe 2011/2012)
Contents, comment
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Ausgangspunkt der Galoistheorie war die Frage, ob und wie die Loesungen einer polynomiellen
Gleichung berechnet werden koennen. Daraus entstand die Theorie der algebraischen Koerpererweiterungen. Ein Hauptziel der Vorlesung ist der Hauptsatz der Galoistheorie, der
Auskunft ueber den Zusammenhang ueber die Zwischenkoerper einer endlichen algebraischen
Erweiterung und der dazugehoerigen Galoisgruppe gibt. Daneben werden folgende Themen
behandelt:
-Normale und separable Koerpererweiterungen
-Loesbarkeit durch Radikale
-Galoisgruppen endlicher Koerper
-Kreisteilungskoerper
-Berechnung von Galoisgruppen
Requirements for participation, required level
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-Lineare Algebra I und II
-Grundkenntnisse ueber Gruppen, Ringe und Koerper
Bibliography
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E. Artin, Galoissche Theorie
B. van der Waerden, Algebra
B. Fischer, R. Sacher, Einfuehrung in die AlgebraWeitere Literatur im Semesterapparat
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period |
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Subject assignments
| Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
|---|---|---|---|---|---|---|---|
| Mathematik / Diplom | (Enrollment until SoSe 2008) | Wahl | 4. 5. 6. 7. 8. | ||||
| Mathematik / Master | (Enrollment until SoSe 2011) | MM05S | Wahl | 1. 2. 3. | 9 | benotet | |
| Wirtschaftsmathematik / Diplom | (Enrollment until SoSe 2005) | 4. 5. 6. 7. 8. | |||||
| Wirtschaftsmathematik / Master | (Enrollment until SoSe 2011) | MW05S | 1. 2. 3. | 9 | benotet |
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