TITLE: Bass's paper "Symplectic groups and modules", used in proof of the congruence subgroup property for Sp
QUESTION [13 upvotes]: Let $R$ be the ring of integers in a number field.  While studying the congruence subgroup property for $\text{Sp}_{2g}(R)$ in
Bass, H.; Milnor, J.; Serre, J.-P.
Solution of the congruence subgroup problem for SLn(n≥3) and Sp2n(n≥2). 
Inst. Hautes Études Sci. Publ. Math. No. 33 1967 59–137.
they quote a theorem of Bass that says the following.  First, some notation.  If $R$ is a commutative ring and $q$ is an ideal of $R$, then denote by $\text{Sp}_{2g}(R,q)$ the kernel of the map
$$\text{Sp}_{2g}(R) \longrightarrow \text{Sp}_{2g}(R/q).$$
Also, denote by $\text{Ep}_{2g}(R,q)$ the normal subgroup of $\text{Sp}_{2g}(R)$ generated by the usual elementary symplectic matrices which happen to lie in $\text{Sp}_{2g}(R,q)$.
Theorem : For $R$ a Dedekind domain and $q$ an ideal of $R$ and $g \geq 2$, we have $\text{Sp}_{2g}(R,q) = \text{Sp}_{2}(R,q) \cdot \text{Ep}_{2g}(R,q)$.
This is part a of Proposition 13.2 in the above paper.  The reference they give is
Bass, H, Symplectic modules and groups, in preparation.
However, this paper does not seem to have ever appeared.  In a paper I'm writing right now, I need a fact which is a corollary of what I assume is the proof they have in mind (alas, it doesn't just follow from the statement).  Does anyone know a published account of it?

REPLY [6 votes]: Just after the limited work by Bass-Milnor-Serre was published, the work of Moore made possible a major improvement by H. Matsumoto in his Paris thesis here, treating uniformly all the split (Chevalley) group schemes including the somewhat exceptional case of symplectic groups relative to the congruence subgroup problem.   I think Cor. 4.5 and the surrounding material cover the missing Bass paper, which he may have avoided completing due to Matsumoto's work.   (But participants at the time could fill in that history much better than I can.)
The rank 1 group in your formulation comes from the unique long simple root for a symplectic group.
Probably the results for classical groups are also worked out in the later book by Hahn and O'Meara The Classical Groups and K-Theory (Springer, 1989), but I haven't yet tracked down an explicit reference there.   Also, they don't include full details of the congruence subgroup problem, referring at times to the literature.