Is it true that when $n \geq 5$ there is a surjective homomorphism from the symmetric group $S_n$ to $S_{n-1}$? How come this is so? Does it have to deal with the subgroup $A_n$ being simple?
2026-04-02 12:38:49.1775133529
Is it true that when $n \geq 5$ there is a surjective homomorphism from the symmetric group $S_n$ to $S_{n-1}$?
103 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ABSTRACT-ALGEBRA
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