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If $H$ and $S\subseteq S_n$ are groups, the wreath product of $H$ and $S$ is the semidirect product $$H \wr S = H^n \rtimes S$$ where $S$ acts on $H^n$ via $S\subseteq S_n$, permuting the $n$ copies of $H$.

Knowl status:
  • Review status: reviewed
  • Last edited by John Jones on 2022-06-29 13:10:48
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