Another presentation of orthogonal Steinberg groups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866913095707787264 |
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| author | Voronetsky, Egor |
| author_facet | Voronetsky, Egor |
| contents | We use the pro-group approach to show that $\mathrm{StO}(M, q)$ admits van der Kallen's "another presentation", where $M$ is a module over a commutative ring with sufficiently isotropic quadratic form $q$. Moreover, we construct an analog of ESD-transvections in orthogonal Steinberg pro-groups under some assumptions on their parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_12147 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Another presentation of orthogonal Steinberg groups Voronetsky, Egor Group Theory 19C09, 20G35 We use the pro-group approach to show that $\mathrm{StO}(M, q)$ admits van der Kallen's "another presentation", where $M$ is a module over a commutative ring with sufficiently isotropic quadratic form $q$. Moreover, we construct an analog of ESD-transvections in orthogonal Steinberg pro-groups under some assumptions on their parameters. |
| title | Another presentation of orthogonal Steinberg groups |
| topic | Group Theory 19C09, 20G35 |
| url | https://arxiv.org/abs/2012.12147 |