Normality and $K_1$-stability of Roy's elementary orthogonal group
Commutative Algebra
2017-03-17 v1 K-Theory and Homology
Abstract
In this paper, we prove the normality of the Roy's elementary orthogonal group (Dickson--Siegel--Eichler--Roy or DSER group) over a commutative ring which was introduced by A. Roy in [MR0231844] under some conditions on the hyperbolic rank. We also establish a stability theorem for of Roy's group. We obtain a decomposition theorem for the elementary orthogonal group which is used to deduce the stability theorem.
Keywords
Cite
@article{arxiv.1401.0822,
title = {Normality and $K_1$-stability of Roy's elementary orthogonal group},
author = {A. A. Ambily},
journal= {arXiv preprint arXiv:1401.0822},
year = {2017}
}
Comments
13 pages