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http://dx.doi.org/10.18419/opus-11527
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| DC Element | Wert | Sprache |
|---|---|---|
| dc.contributor.author | Nitsche, Sebastian | - |
| dc.date.accessioned | 2021-06-14T12:25:00Z | - |
| dc.date.available | 2021-06-14T12:25:00Z | - |
| dc.date.issued | 2017 | de |
| dc.identifier.other | 1760490725 | - |
| dc.identifier.uri | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-115448 | de |
| dc.identifier.uri | http://elib.uni-stuttgart.de/handle/11682/11544 | - |
| dc.identifier.uri | http://dx.doi.org/10.18419/opus-11527 | - |
| dc.description.abstract | 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. | en |
| dc.language.iso | en | de |
| dc.rights | info:eu-repo/semantics/openAccess | de |
| dc.subject.ddc | 510 | de |
| dc.title | The minimal projective resolution of Z_(2) over Z_(2)S_4 | en |
| dc.type | masterThesis | de |
| ubs.fakultaet | Mathematik und Physik | de |
| ubs.institut | Fakultät Mathematik und Physik (Institutsübergreifend) | de |
| ubs.publikation.seiten | 106 | de |
| ubs.publikation.typ | Abschlussarbeit (Master) | de |
| 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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