English

Normal Structure of Isotropic Odd Orthogonal Groups

Group Theory 2026-01-05 v1

Abstract

Let (M,q)(M, q) be a quadratic projective module of an odd rank over an commutative ring, where the form qq is semiregular, with global Witt index of at least 22, and with rk(M)7\mathrm{rk}(M) \ge 7. We prove standard commutator formulae and classify EO\mathrm{EO}-normal subgroups of O(M,q)\mathrm{O}(M, q) without assumption of 22 being invertible.

Keywords

Cite

@article{arxiv.2601.00763,
  title  = {Normal Structure of Isotropic Odd Orthogonal Groups},
  author = {Leonid Danilevich},
  journal= {arXiv preprint arXiv:2601.00763},
  year   = {2026}
}
R2 v1 2026-07-01T08:48:40.666Z