Domokos, Mátyás (2026) Separating polynomial invariants over non-closed fields of finite abelian groups. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 84. No. 101877. ISSN 1063-5203
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Official URL: https://doi.org/10.1016/j.acha.2026.101877
Abstract
It is proved that for any finite dimensional representation of a prime order group over the field of rational numbers, polynomial invariants of degree at most 3 separate the orbits. A result providing an upper degree bound for separating invariants for representations of finite abelian groups over algebraically closed base fields of non-modular characteristic is generalized for the case of base fields that are not algebraically closed (like the fields of real or rational numbers).
| Item Type: | Article |
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| Uncontrolled Keywords: | Polynomial invariants; Separating sets; Degree bounds; Finite abelian groups; Multireference alignment; Regular representation |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 21 Oct 2026 15:23 |
| Last Modified: | 21 Oct 2026 15:23 |
| URI: | https://real.mtak.hu/id/eprint/249014 |
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