  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.
