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http://dx.doi.org/10.18419/opus-11527
| Autor(en): | Nitsche, Sebastian |
| Titel: | The minimal projective resolution of Z_(2) over Z_(2)S_4 |
| Erscheinungsdatum: | 2017 |
| Dokumentart: | Abschlussarbeit (Master) |
| Seiten: | 106 |
| URI: | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-115448 http://elib.uni-stuttgart.de/handle/11682/11544 http://dx.doi.org/10.18419/opus-11527 |
| Zusammenfassung: | We consider the trivial module Z_(2) over the group ring Z_(2)S_4. Using the Wedderburn image of Z_(2)S_4, a minimal projective resolution of Z_(2) over Z_(2)S_4 with regular behavior is constructed. We give a closed formula for the projective terms and the differentials. The minimal projective resolution is used to calculate the cohomology groups of S_4 over Z_(2). In 1974, Thomas gave a description of the cohomology ring of S_4 as a factor ring of a polynomial ring. As far as we were able to compare both using Magma, our calculation is in accordance with his result. |
| Enthalten in den Sammlungen: | 08 Fakultät Mathematik und Physik |
Dateien zu dieser Ressource:
| Datei | Beschreibung | Größe | Format | |
|---|---|---|---|---|
| master_nitsche.pdf | 1,04 MB | Adobe PDF | Öffnen/Anzeigen |
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