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Toward Noether's Problem for the Fields of Cross-ratios

Toward Noether's Problem for the Fields of Cross-ratios

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. …