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PreprintCC BY 4.0arXiv

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

  • 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 ℍ(P) which implies the surjective stability of DSER orthogonal K1

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Cite

BibTeXRIS
BibTeX
@misc{asokan2026surjective,
  title = {{Surjective Stability of Dickson-Siegel-Eichler-Roy Elementary Orthogonal Group over Projective Modules}},
  author = {Ambily Ambattu Asokan and Adriraj Talukdar},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.30086},
  eprint = {2606.30086},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.30086},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Surjective Stability of Dickson-Siegel-Eichler-Roy Elementary Orthogonal Group over Projective Modules
AU  - Ambily Ambattu Asokan
AU  - Adriraj Talukdar
PY  - 2026
DA  - 2026/09/19
PB  - arXiv
DO  - 10.48550/arxiv.2606.30086
UR  - https://arxiv.org/abs/2606.30086
AB  - 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 ℍ(P) which implies the surjective stability of DSER orthogonal K_1
ER  -