Oh the maximality of sp(l) in spn(k)

Let k be the quotient field of a Dedekind domain O, (k ≠ 0) and let G = Spn(k) be the Symplectic Group over k. G acts on the 2n -dimensional vector space V.Let L be a lattice in V, and let Sp(L) be the stabilizer of L in Spn(k). Our purpose is to investigate whether or not there exists a subgroup of...