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

A. Yu. Golubkov

N. E. Bauman Moscow State Technical University

Abstract: The present paper is devoted to the computation of the radicals $\mathrm{RN}$ and $\mathrm{RN}^*$ 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.

UDC: 512.743.3+512.552.12

 English version: Journal of Mathematical Sciences (New York), 2008, 154:2, 143–203

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