Locally isotropic elementary groups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913095747633152 |
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| author | Voronetsky, Egor |
| author_facet | Voronetsky, Egor |
| contents | We construct elementary subgroups of all reductive groups of the local isotropic rank $\geq 2$ over rings and prove their basic properties. In particular, our results may be applied to the automorphism groups of any finitely generated projective modules over commutative unital rings of rank $\geq 3$ at every prime ideal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_01592 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Locally isotropic elementary groups Voronetsky, Egor Group Theory 20G07, 20G35 We construct elementary subgroups of all reductive groups of the local isotropic rank $\geq 2$ over rings and prove their basic properties. In particular, our results may be applied to the automorphism groups of any finitely generated projective modules over commutative unital rings of rank $\geq 3$ at every prime ideal. |
| title | Locally isotropic elementary groups |
| topic | Group Theory 20G07, 20G35 |
| url | https://arxiv.org/abs/2310.01592 |