Is $\displaystyle S_m \wr S_m \ldots \wr S_m$ (n times) $\displaystyle \cong S_{m^n}$ ? , where $\displaystyle \wr$ denotes the wreath product of groups.

plz explain.

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- Jan 18th 2009, 09:01 PMthippliwreath product of groups
Is $\displaystyle S_m \wr S_m \ldots \wr S_m$ (n times) $\displaystyle \cong S_{m^n}$ ? , where $\displaystyle \wr$ denotes the wreath product of groups.

plz explain. - Jan 19th 2009, 03:25 PMNonCommAlg
- Jan 22nd 2009, 10:56 PMthippli
Thank you !