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Questions about the branch of algebra that deals with groups.
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Is there anything known about the lower central series of a group $G\wr C_p$?
Let $G$ be a $p$-group contained in $S_{p^m}$ for some $m\in \mathbb{N}$, this is, the symmetric group of degree $p^m$. Assume that the lower central series, LCS for short, of $G$ is well understood.
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