The radical RN and the weakly solvable radical of linear groups over associative rings

This paper is devoted to the computation of the radicals RN and RN* and the weakly solvable radical for a number of basic classical linear groups over rings, including the unitary group over a ring with involution and matrix groups normalized by elementary Chevalley groups. __________ Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 2, pp. 31–115, 2007.