13
votes
Accepted
Commutativity of the wreath product
If $G=\mathfrak{S}_m$ and $H=\mathfrak{S}_m\wr\mathfrak{S}_m$ then the associativity of the wreath product construction shows that $G\wr H$ and $H\wr G$ are isomorphic as permutation groups, and hence ...
- 16.2k
6
votes
Krasner–Kaloujnine universal embedding theorem for finitely generated groups?
This is not an answer, but rather a long comment. The point I would like to highlight is that (restricted) wreath products are not finitely presentable, as it is well-known, but also they contain only ...
- 8,401
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