Let's say I want to know what all the subgroups of $S_n$ that are isomorphic to $S_m$ look like, where $m < n$. Do these have a nice characterization? For example, is it true that every such subgroup acts as $S_m$ when restricted to an appropriate $m$ element subset?
2026-03-25 15:43:44.1774453424
Realizations of symmetric groups as subgroups of larger symmetric groups
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