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Jun 7, 2013 at 17:59 comment added Steven Landsburg I'm confused too, but here's my best approximate guess of what he means: First, let $A$ be a ring constructed per V's suggestion. It suffices to show that $sr(A)\ge 3$. For this, it suffices to show that $SL_3(A)\neq E_3(A)$, and for this it suffices to show that $SK_1(A)\neq 0$. And indeed, examples of such $A$ are known for which $SK_1\neq 0$. So, modulo filling in details, this works if Vaserstein's "2" was a typo for "3".
Jun 7, 2013 at 15:23 history edited Ryan Reich CC BY-SA 3.0
fix matrices
Jun 7, 2013 at 12:41 history answered Oblomov CC BY-SA 3.0