Rings of invariants of three-dimensional upper-triangular representations of finite groups
Group Theory
2025-10-24 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2510.19876,
title = {Rings of invariants of three-dimensional upper-triangular representations of finite groups},
author = {Abdulkadyr Buchaev},
journal= {arXiv preprint arXiv:2510.19876},
year = {2025}
}
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14 pages