Transitive Subgroup/Examples/n-Cycle

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Example of Transitive Subgroup

Let $S_n$ denote the symmetric group on $n$ letters for $n \in \N$.

Consider the subgroup $H$ of $S_n$ generated by the cyclic permutation $\tuple {1, 2, \ldots, n}$.

Then $H$ is a transitive subgroup .


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