Normal Structure of Isotropic Odd Orthogonal Groups
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909980042461184 |
|---|---|
| author | Danilevich, Leonid |
| author_facet | Danilevich, Leonid |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_00763 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Normal Structure of Isotropic Odd Orthogonal Groups Danilevich, Leonid Group Theory 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. |
| title | Normal Structure of Isotropic Odd Orthogonal Groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2601.00763 |