Separating symmetric polynomials over finite fields
| Autor: | Lopatin, Artem, Martins, Pedro Antonio Muniz, Lima, Lael Viana |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The set $S(n)$ of all elementary symmetric polynomials in $n$ variables is a minimal generating set for the algebra of symmetric polynomials in $n$ variables, but over a finite field ${\mathbb F}_q$ the set $S(n)$ is not a minimal separating set for symmetric polynomials in general. We determined when $S(n)$ is a minimal separating set for the algebra of symmetric polynomials having the least possible number of elements. Comment: 8 pages |
| Databáze: | arXiv |
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