Finite p-subgroups of Sp(n)
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Hikari  classiﬁes all ﬁnite p-subgroups of simple algebras, and Banieqbal  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.