“…Certain K-theory arguments guarantee that the number of unipotent matrices needed for factorizing an element in SL n (O(Ω)) is a non-increasing function of n (see [7]). So, as done in [3], combining the above property and results from [11], we obtain the following estimates: E(1, n) ≤ N (1, n) = 4 for all n, E(2, n) ≤ N (2, n) ≤ 5 for all n, and for each k, there exists n(k) such that E(k, n) ≤ N (k, n) ≤ 6 for all n ≥ n(k).…”