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MR1915823 16K20 (05C25 11E57 16W60 20D10)
Rapinchuk, Andrei S.; Segev, Yoav; Seitz, Gary M. Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable. J. Amer. Math. Soc. 15 (2002), no. 4, 929–978.
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