RATIONALITY FOR SUBGROUPS OF S-6

摘要

For a transitive subgroup G <= S-6 which contain C-3 x 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.