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Jul 2, 2011 at 16:01 comment added Geoff Robinson Do you mean to assume transitivity of $G$? For example, if $n = 4$, a Klein 4-group $V$ can be embedded in $S_4$ in two quite different ways. One as the unique normal subgroup of order $4$ of $S_4$ which is regular (and, in particular transitive). In this case $V$ is eembedded as $\langle (1), (12)(34),(13)(24),(14)23) \langle$. Alternatively, $V$ may be embedded as $\langle (1),(12),(34),(12)(34) \rangle$, which is an intransitive subgroup of $S_4$.
Jun 29, 2011 at 4:18 answer added Torsten Ekedahl timeline score: 6
Jun 29, 2011 at 3:40 answer added JSE timeline score: 2
Jun 29, 2011 at 1:19 history edited Hugo Chapdelaine CC BY-SA 3.0
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Jun 29, 2011 at 1:01 comment added Hugo Chapdelaine Yes this what I meant, I just changed it
Jun 29, 2011 at 1:00 history edited Hugo Chapdelaine CC BY-SA 3.0
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Jun 29, 2011 at 0:41 comment added Andreas Blass You presumably meant that the transcendence degree of $L^G$ over $K$ is $n$, not $|G|$.
Jun 29, 2011 at 0:30 history asked Hugo Chapdelaine CC BY-SA 3.0