Abstract
Let R be a commutative ring, and let l ‚ 2; for l = 2 it is assumed additionally that R has no residue fields of two elements. The subgroups of the general linear group GL(n;R) that contain the elementary symplectic group Ep(2l;R) are described. In the case where R = K is a field, similar results were obtained earlier by Dye, King, and Shang Zhi Li. In the present paper we consider a description of the subgroups in the general linear group G = GL(2l;R) over a commutative ring R that contain the elementary symplectic group Ep(2l;R). It turns out that for every such group H there exists a unique ideal A in R such that H lies between the group
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