The normal subgroups of symplectic groups over valuation rings with a residue class field characteristic \(\neq 2\) (Q1591400)

Let \(R\) be a valuation ring and let \(F\) be its quotient field. Assume that the characteristic of \(F\) is distinct from \(2\). Further, let \(L\) be a lattice such that \(L\neq 0\) and \(L\) is a free \(R\)-module, admitting an alternating nonsingular bilinear form. Let \(T\) be a tableau, i.e., a matrix of ideals of \(R\) with certain properties. Then the normal subgroups of the symplectic group \(\text{Sp}(L)\) are exactly the subgroups between \(\text{CSp}(L,T)=[\text{Sp}(L),\text{GSp}(L,T)]\) and \(\text{GSp}(L,T)\). \textit{C. R. Riehm} obtained similar results under the assumption that \(|F|>3\) [Am. J. Math. 88, 106-128 (1966; Zbl 0161.02302)].