arXiv subjects

Ambily Ambattu Asokan

Publications and source records attributed to Ambily Ambattu Asokan.

2 recordsLinked to original sources

arXiv2026

Surjective Stability of Dickson-Siegel-Eichler-Roy Elementary Orthogonal Group over Projective Modules

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 ${\rm K}_1$

math.AC↗

arXiv2025

Equality of DSER elementary orthogonal group and Eichler-Siegel-Dickson transvection group

We prove the Dickson-Siegel-Eichler-Roy (DSER) elementary orthogonal group, which was introduced by Amit Roy in 1968 and the Eichler-Siegel-Dickson transvection group, which is in literature in the works of Dickson, Siegel and Eichler, are equal over a commutative ring in which $2$ is invertible. We prove the equality in the free case by considering the odd and even case separately and then generalize this result by using the local-global principle. This result generalizes previous results concerning the equality of elementary orthogonal transvection groups.

math.AC↗