Finite p-subgroups of Sp(n)
| buir.advisor | Ünlü, Özgün | |
| dc.contributor.author | Çetin, Mustafa Seyyid | |
| dc.date.accessioned | 2021-09-22T13:56:02Z | |
| dc.date.available | 2021-09-22T13:56:02Z | |
| dc.date.copyright | 2021-09 | |
| dc.date.issued | 2021-09 | |
| dc.date.submitted | 2021-09-20 | |
| dc.description | Cataloged from PDF version of article. | en_US |
| dc.description | Thesis (Master's): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2021. | en_US |
| dc.description | Includes bibliographical references (leave 28-29). | en_US |
| dc.description.abstract | Hikari [1] classifies all finite p-subgroups of simple algebras, and Banieqbal [2] classi-fies the finite subgroups of 2×2 matrices over a division algebra of characteristic zero. In this thesis, we give a new proof for the classification of the finite p-subgroups of 2 × 2 matrices over the quaternionic algebra. Using this classification, we classify fi-nite p-subgroups of the symplectic group Sp(2). More precisely, for every prime p, we define a denumerable family of p-subgroups of Sp(2) so that every finite p-subgroup of Sp(2) lives inside one of the members of this family. To give this classification, we proved general results for Sp(n) whenever possible. | en_US |
| dc.description.provenance | Submitted by Betül Özen (ozen@bilkent.edu.tr) on 2021-09-22T13:56:02Z No. of bitstreams: 1 10421697.pdf: 527003 bytes, checksum: 5784cb70d077a8acfeaeb18e68f2b07e (MD5) | en |
| dc.description.provenance | Made available in DSpace on 2021-09-22T13:56:02Z (GMT). No. of bitstreams: 1 10421697.pdf: 527003 bytes, checksum: 5784cb70d077a8acfeaeb18e68f2b07e (MD5) Previous issue date: 2021-09 | en |
| dc.description.statementofresponsibility | by Mustafa Seyyid Çetin | en_US |
| dc.format.extent | vi, 29 leaves ; 30 cm. | en_US |
| dc.identifier.itemid | B133469 | |
| dc.identifier.uri | http://hdl.handle.net/11693/76534 | |
| dc.language.iso | English | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | p-group | en_US |
| dc.subject | Symplectic group | en_US |
| dc.title | Finite p-subgroups of Sp(n) | en_US |
| dc.title.alternative | Sp(n) içindeki sonlu p-altgruplar | 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) |