Chain maps between Gruenberg resolutions

buir.advisorYalçın, Ergün
dc.contributor.authorFidan, Müge
dc.date.accessioned2018-08-03T13:51:32Z
dc.date.available2018-08-03T13:51:32Z
dc.date.copyright2018-07
dc.date.issued2018-07
dc.date.submitted2018-08-02
dc.departmentDepartment of Mathematicsen_US
dc.descriptionCataloged from PDF version of article.en_US
dc.descriptionThesis (M.S.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2018.en_US
dc.descriptionIncludes bibliographical references (leaves 56-57).en_US
dc.description.abstractLet 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.degreeM.S.en_US
dc.description.statementofresponsibilityby Müge Fidan.en_US
dc.format.extentvii, 57 leaves ;30 cm.en_US
dc.identifier.itemidB158753
dc.identifier.urihttp://hdl.handle.net/11693/47726
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectProjective Resolutionen_US
dc.subjectCohomologyen_US
dc.subjectGruenberg Resolutionen_US
dc.subjectChain Mapen_US
dc.titleChain maps between Gruenberg resolutionsen_US
dc.title.alternativeGruenberg çözücüleri arasındaki zincir dönüşümlerien_US
dc.typeThesisen_US
Files
Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
thesisnew.pdf
Size:
433.08 KB
Format:
Adobe Portable Document Format
Description:
Full printable version
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description: