Rationality for Subgroups of S 6 |
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| Authors: | Jian Zhou |
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| Institution: | 1. School of Mathematical Sciences , Peking University , Beijing , China zhjn@math.pku.edu.cn |
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| Abstract: | For a transitive subgroup G ≤ S 6 which contain C 3 × C 3 as subgroup, we prove that K(x 1,…, x 6) G is rational over K, where K is any field, and G acts naturally on K(x 1,…, x 6) by permutations on the variables. We also give an application on construction of generic polynomials. |
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| Keywords: | Generic polynomial Noether's problem Rationality Symmetric group |
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