Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable

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The Commuting Graph of Minimal Nonsolvable Groups (2001, background): “Added in Proof: Recently, Conjecture FSoQ (of the introduction) was proved by A. Rapinchuk, G. Seitz andthe author in [ 5 ].”
Developments on the congruence subgroup problem after the work of Bass, Milnor and Serre (2008, methodology): “Of special relevance for our account are the various versions of the congruence subgroup theorem established in [43] and [44] for the multiplicative group D× of a finite dimensional division algebra D over an arbitrary field, which led to the result that all finite quotients of D× are solvable.”
Quaternion Algebras and the Algebraic Legacy of Hamilton's Quaternions (2006, result): “A recent breakthrough linking division algebras and group theory is the following result of Rapinchuk, Segev, and Seitz, [46], that finite quotients of division algebras are solvable.”
The commuting graph of a soluble group (2012, methodology): “In the work of Segev and Seitz, which was required for the study of the multiplicative group of a division algebra (in collaboration with Rapinchuk [9] Segev and Seitz prove that finite quotients of the multiplicative group of a finite dimensional division algebra are soluble), it is demonstrated th”