Rings of invariants of three-dimensional upper-triangular representations of finite groups

Abdulkadyr Buchaev

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arXiv · 2510.19876

Rings of invariants of three-dimensional upper-triangular representations of finite groups

Abdulkadyr Buchaev

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Abstract

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.

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Abdulkadyr Buchaev. 2025-10-22. Rings of invariants of three-dimensional upper-triangular representations of finite groups. https://arxiv.org/abs/2510.19876

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