Abstract
We prove that Noether’s problem has an affirmative answer for the group GL(2, 3), over every field K. In particular, the group \(\widetilde{S_4}\cong {\rm GL}(2,3)\) admits a generic polynomial over \(\mathbb Q\) . As a consequence, so does the group \(\widetilde{S_5}\) .
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Research was partially supported by MCYT grant BFM2003-01898.