Elementary subgroup of an isotropic reductive group is perfect

Alexander Luzgarev; Anastasia Stavrova

arxiv: 1001.1105 · v1 · submitted 2010-01-07 · 🧮 math.AG · math.GR

Elementary subgroup of an isotropic reductive group is perfect

Alexander Luzgarev , Anastasia Stavrova This is my paper

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keywords groupreductiveelementaryisotropicperfectsubgroupalgebraicassume

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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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Elementary subgroup of an isotropic reductive group is perfect

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