Rationality for Subgroups of<i>S</i><sub>6</sub>
Rationality for Subgroups of<i>S</i><sub>6</sub>
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 …