×

The structure of split classical groups over a commutative ring. (English. Russian original) Zbl 0688.20027

Sov. Math., Dokl. 37, No. 2, 550-553 (1988); translation from Dokl. Akad. Nauk SSSR 299, No. 6, 1300-1303 (1988).
Results of N. A. Vavilov and Z. I. Borevich [ibid. 267, 777- 778 (1982; Zbl 0521.20031) \(=\) Sov. Math., Dokl. 26, 679-681 (1982); Tr. Mat. Inst. Steklova 165, 24-42 (1984; Zbl 0653.20048) \(=\) Proc. Steklov Inst. Math. 165, 27-46 (1985)] on subgroups of GL(n,R) containing root subgroups, where R is a commutative associative ring with 1, are extended to symplectic and split orthogonal groups over \(R=2R\).

MSC:

20G35 Linear algebraic groups over adèles and other rings and schemes
20E07 Subgroup theorems; subgroup growth
PDFBibTeX XMLCite