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Wang, Baoshan; Zhou, Jian
Journal of algebra, 01/2019, Volume: 518Journal Article
For any field K and any transitive subgroup G of S8, let G act naturally on K(x1,…,x8) by permuting the variables. We prove that under some minor conditions K(x1,…,x8)G is always K-rational except G is A8 or G is isomorphic to PGL(2,7). We pay special attentions on the characteristic 2 cases.
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