Elementary subgroup of an isotropic reductive group is perfect

Details Elementary subgroup of an isotropic reductive group is perfect Elementary subgroup of an isotropic reductive group is perfect

2010-01-07

arxiv.org/abs/1001.1105v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

Let G be an isotropic reductive algebraic group over a commutative ring R.
Assume that the elementary subgroup E(R) of group of points G(R) is correctly
defined. Then E(R) is perfect, except for the well-known cases of a split
reductive group of type C_2 or G_2.

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