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dc.contributor.advisorGelvin, Matthew Justin Karcher
dc.contributor.authorKarakaş, Mete Han
dc.date.accessioned2020-09-15T07:24:19Z
dc.date.available2020-09-15T07:24:19Z
dc.date.copyright2020-08
dc.date.issued2020-09
dc.date.submitted2020-09-11
dc.identifier.urihttp://hdl.handle.net/11693/54029
dc.descriptionCataloged from PDF version of article.en_US
dc.descriptionThesis (M.S.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2020.en_US
dc.descriptionIncludes bibliographical references (leave 91-93).en_US
dc.description.abstractOf the 26 sporadic finite simple groups, 5 were discovered by E. Mathieu in 1861 and 1873 [1], [2]. These Mathieu groups are the focus of this thesis, where we will prove their simplicity using elementary methods. E. Witt [5] realized a connection between the Mathieu groups and certain combinatorial structures known as Steiner systems. We will follow his construction to define the Mathieu groups as the automorphism groups of certain Steiner systems. Much of the work of the thesis lies in the construction of these Steiner systems, which we achieve by using both methods from finite geometry and the theory of Golay codes.en_US
dc.description.statementofresponsibilityby Mete Han Karakaşen_US
dc.format.extentx, 93 leaves : charts ; 30 cm.en_US
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMathieu groupsen_US
dc.subjectSteiner systemsen_US
dc.subjectGolay codesen_US
dc.titleConstructions and simplicity of the Mathieu groupsen_US
dc.title.alternativeMathieu gruplarının oluşturulması ve basitliğien_US
dc.typeThesisen_US
dc.departmentDepartment of Mathematicsen_US
dc.publisherBilkent Universityen_US
dc.description.degreeM.S.en_US
dc.identifier.itemidB160489


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