Rings of invariants of three-dimensional upper-triangular representations of finite groups
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912665646923776 |
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| author | Buchaev, Abdulkadyr |
| author_facet | Buchaev, Abdulkadyr |
| contents | The work proves that, for three-dimensional upper triangular groups over a field of odd characteristic with an abelian unipotent subgroup, the ring of invariants is polynomial if and only if the unipotent subgroup is generated by pseudoreflections or does not contain transvections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_19876 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rings of invariants of three-dimensional upper-triangular representations of finite groups Buchaev, Abdulkadyr Group Theory Algebraic Geometry 20G40 The work proves that, for three-dimensional upper triangular groups over a field of odd characteristic with an abelian unipotent subgroup, the ring of invariants is polynomial if and only if the unipotent subgroup is generated by pseudoreflections or does not contain transvections. |
| title | Rings of invariants of three-dimensional upper-triangular representations of finite groups |
| topic | Group Theory Algebraic Geometry 20G40 |
| url | https://arxiv.org/abs/2510.19876 |