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arXiv · 1401.0822

Normality and $K_1$-stability of Roy's elementary orthogonal group

A. A. Ambily
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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 $K_1$ of Roy's group. We obtain a decomposition theorem for the elementary orthogonal group which is used to deduce the stability theorem.

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A. A. Ambily. 2014-01-04. Normality and $K_1$-stability of Roy's elementary orthogonal group. https://arxiv.org/abs/1401.0822

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