Lets look at $S_n$ as subgroup of $S_{n+1}$. How many subgroups $H$, $S_{n} \subseteq H \subseteq S_{n+1}$ there are ?
Subgroups between $S_n$ and $S_{n+1}$
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$\begingroup$
group-theory
permutations
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0Stabilizers in primitive (hence 2-transitive) groups are maximal. – 2012-07-19
1 Answers
15
None.
Let $S_n
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0@anon: thanks for the tip. – 2012-07-19