Abstract
Let be a subgroup of , the symmetric group of degree 6. For any field , acts naturally on the rational function field via -automorphisms defined by for any and any . We prove the following theorem. The fixed field is rational (i.e., purely transcendental) over , except possibly when is isomorphic to , , or . When is isomorphic to or , then is -rational and is stably -rational for any field . The invariant theory of wreath products will be investigated also.
Citation
Ming-chang Kang. Baoshan Wang. Jian Zhou. "Invariants of wreath products and subgroups of ." Kyoto J. Math. 55 (2) 257 - 279, June 2015. https://doi.org/10.1215/21562261-2871749
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