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arXiv · 1308.0409

Rationality for subgroups of S_6

Jian Zhou
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Abstract

For a transitive subgroup $G \le S_6$ which contain $C_3 \times C_3$ as subgroup, we prove that $K(x_1,\dots,x_6)^G$ is rational over $K$, where $K$ is any field, and $G$ acts naturally on $K(x_1,\dots,x_6)$ by permutations on the variables. We also give an application on construction of generic polynomials.

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Jian Zhou. 2013-09-04. Rationality for subgroups of S_6. https://arxiv.org/abs/1308.0409

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