Let $\sigma = (3 4),\tau=(1 3 2), \nu=(1 2 3 4)$. I know that $\sigma\notin A_4$ since it is an odd permutation, so how can I find the group which generated by these three permutations?
2026-03-25 18:58:44.1774465124
Finding group generated by given permutations
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Hint: $S_n$ is generated by any $n$-cycle and any $2$-cycle of adjacent elements in the $n$-cycle.