Elementary subgroup of an isotropic reductive group is perfect
Algebraic Geometry
2010-01-08 v1 Group Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1001.1105,
title = {Elementary subgroup of an isotropic reductive group is perfect},
author = {Alexander Luzgarev and Anastasia Stavrova},
journal= {arXiv preprint arXiv:1001.1105},
year = {2010}
}
Comments
10 pages