Çetin, Mustafa Seyyid2021-09-222021-09-222021-092021-092021-09-20http://hdl.handle.net/11693/76534Cataloged from PDF version of article.Thesis (Master's): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2021.Includes bibliographical references (leave 28-29).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.vi, 29 leaves ; 30 cm.Englishinfo:eu-repo/semantics/openAccessp-groupSymplectic groupThesisB133469