Chain maps between Gruenberg resolutions
| buir.advisor | Yalçın, Ergün | |
| dc.contributor.author | Fidan, Müge | |
| dc.date.accessioned | 2018-08-03T13:51:32Z | |
| dc.date.available | 2018-08-03T13:51:32Z | |
| dc.date.copyright | 2018-07 | |
| dc.date.issued | 2018-07 | |
| dc.date.submitted | 2018-08-02 | |
| dc.description | Cataloged from PDF version of article. | en_US |
| dc.description | Includes bibliographical references (leaves 56-57). | en_US |
| dc.description.abstract | Let G be a finite group. For a given presentation of G = hF|Ri, Gruenberg gives a construction of a projective resolution for Z as a ZG-module. This resolution, which is called Gruenberg resolution, only depends on the ideals IF := ker{ZF → Z} and J := ker{ZF → ZG} (see [1]). We write standard resolution as a Gruenberg resolution by following the construction of Gruenberg [2]. We get an explicit chain map formula between Gruenberg resolution for standard presentation and the Gruenberg resolution for the usual presentation of a cyclic group. Then we write an explicit chain map formula between any two Gruenberg resolutions. We also give some calculations with Gruenberg resolution. | en_US |
| dc.description.statementofresponsibility | by Müge Fidan. | en_US |
| dc.format.extent | vii, 57 leaves ;30 cm. | en_US |
| dc.identifier.itemid | B158753 | |
| dc.identifier.uri | http://hdl.handle.net/11693/47726 | |
| dc.language.iso | English | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Projective Resolution | en_US |
| dc.subject | Cohomology | en_US |
| dc.subject | Gruenberg Resolution | en_US |
| dc.subject | Chain Map | en_US |
| dc.title | Chain maps between Gruenberg resolutions | en_US |
| dc.title.alternative | Gruenberg çözücüleri arasındaki zincir dönüşümleri | en_US |
| dc.type | Thesis | en_US |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Bilkent University | |
| thesis.degree.level | Master's | |
| thesis.degree.name | MS (Master of Science) |