240215 Vertiefung Gruppentheorie (V) (WiSe 2012/2013)
Contents, comment
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Lehrinhalte:
Additive und multiplikative Restklassengruppen, modulare Arithmetik.
Ordnung eines Gruppenelements und der Satz von Lagrange.
Permutationen und symmetrische Gruppen.
Isomorphie von Gruppen.
Rotationen und Drehungen, Transformationsgruppen.
Symmetriegruppen ebener und räumlicher Gebilde, platonische Körper.
Gruppenhomomorphismen.
Nebenklassen, Normalteiler, Faktorgruppen.
Produkte und der chinesische Restsatz.
Endlich erzeugte abelsche Gruppen und der chinesische Restsatz.
Bibliography
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Literaturangaben finden Sie auf der externen Kommentarseite.
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Subject assignments
| Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
|---|---|---|---|---|---|---|---|
| Mathematik / Bachelor | (Enrollment until SoSe 2011) | Kernfach | MD07K | Wahlpflicht | 3. 4. | 6 | benotet |
| Mathematik (GHR) / Master of Education | (Enrollment until SoSe 2014) | M.D.09b | Wahlpflicht | 2. | 6 | benotet | |
| Mathematik (GHR/SP) / Master of Education | (Enrollment until SoSe 2014) | M.D.09b | Wahlpflicht | 2. 3. | 6 | benotet |
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