Toward Noether's Problem for the Fields of Cross-ratios
| Autor: | Hiroshi Tsunogai |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
12F20 Degree (graph theory) 12F12 General Mathematics 010102 general mathematics Rationality 010103 numerical & computational mathematics Permutation group 01 natural sciences 11R32 symbols.namesake 11R34 Mathematics::Algebraic Geometry 11E04 symbols 14E08 20B35 0101 mathematics Noether's theorem 20B30 Mathematics |
| Zdroj: | Tokyo J. of Math. 39, no. 3 (2017), 901-922 |
| ISSN: | 0387-3870 |
| Popis: | In this article, we consider an analogue of Noether's problem for the fields of cross-ratios, and discuss on a rationality problem which connects this with Noether's problem. We show that the affirmative answer of the analogue implies the affirmative answer for Noether's Problem for any permutation group with odd degree. We also obtain some negative results for various permutation groups with even degree. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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