Normal Structure of Isotropic Odd Orthogonal Groups
Abstract
Let $(M, q)$ be a quadratic projective module of an odd rank over an commutative ring, where the form $q$ is semiregular, with global Witt index of at least $2$, and with $\mathrm{rk}(M) \ge 7$. We prove standard commutator formulae and classify $\mathrm{EO}$-normal subgroups of $\mathrm{O}(M, q)$ without assumption of $2$ being invertible.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Finite Group Theory Research
Rings
Modules
and Algebras
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 2 January 2026
- Document type
- Preprint