Normality of DSER elementary orthogonal group
Commutative Algebra
2017-03-17 v1 K-Theory and Homology
Abstract
Let be a quadratic space over a commutative ring in which is invertible, and consider the Dickson--Siegel--Eichler--Roy's subgroup of the orthogonal group , with rank and . We show that is a normal subgroup of , for all . We also prove that the DSER group is a normal subgroup of , where and are quadratic spaces over a commutative ring , with rank and rank .
Cite
@article{arxiv.1703.04083,
title = {Normality of DSER elementary orthogonal group},
author = {A. A. Ambily and Ravi A. Rao},
journal= {arXiv preprint arXiv:1703.04083},
year = {2017}
}
Comments
11 pages