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arXiv · 2606.30086

Surjective Stability of Dickson-Siegel-Eichler-Roy Elementary Orthogonal Group

Ambily Ambattu Asokan·Adriraj Talukdar
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Abstract

Let $R$ be a commutative Noetherian ring in which $2$ is invertible. We prove that a conjugate of Petrov's odd elementary unitary group is contained in the DSER elementary orthogonal group defined over projective modules. We also show a sufficient condition regarding the Witt index of the quadratic module with a hyperbolic summand $\mathbb{H}(P)$ which implies the surjective stability of DSER orthogonal ${\rm K}_1$

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Ambily Ambattu Asokan, Adriraj Talukdar. 2026-06-29. Surjective Stability of Dickson-Siegel-Eichler-Roy Elementary Orthogonal Group. https://arxiv.org/abs/2606.30086

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