Normal Structure of Isotropic Odd Orthogonal Groups
Group Theory
2026-01-05 v1
Abstract
Let be a quadratic projective module of an odd rank over an commutative ring, where the form is semiregular, with global Witt index of at least , and with . We prove standard commutator formulae and classify -normal subgroups of without assumption of being invertible.
Cite
@article{arxiv.2601.00763,
title = {Normal Structure of Isotropic Odd Orthogonal Groups},
author = {Leonid Danilevich},
journal= {arXiv preprint arXiv:2601.00763},
year = {2026}
}