Abstract
In this article, we compare the Dickson-Siegel-Eichler-Roy (DSER) elementary orthogonal group introduced by A. Roy in 1968 and the odd elementary hyperbolic unitary group introduced by V.A. Petrov in 2005. We prove that these two groups over a commutative ring with a pseudo-involution are conjugate subgroups of the general linear group.
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