Geodesic
Normality in Elementary Subgroups of Chevalley Groups Over Rings
Canadian journal of mathematics, Tome 28 (1976) no. 2, pp. 420-428

Voir la notice de l'article provenant de la source Cambridge University Press

In [6] we have constructed certain normal subgroups G7 of the elementary subgroup GR of the Chevalley group G(L, R) over R corresponding to a finite dimensional simple Lie algebra L over the complex field, where R is a commutative ring with identity. The method employed was to augment somewhat the generators of the elementary subgroup E I of G corresponding to an ideal I of the underlying Chevalley algebra LR;E I is thus the group generated by all xr(t) in G having the property that ter ⊂ I. In [6, § 5] we noted that in general E I actually had to be enlarged for a normal subgroup of GR to be obtained. 
Hurley, James F. Normality in Elementary Subgroups of Chevalley Groups Over Rings. Canadian journal of mathematics, Tome 28 (1976) no. 2, pp. 420-428. doi: 10.4153/CJM-1976-042-2
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