Wreath product
= Wreath product
{title2=$H\wr G$}
{wiki}
The restricted wreath product of groups $H$ and $G$ is
$$
H\wr G=\left(\bigoplus_{g\in G}H_g\right)\rtimes G,
$$
where $G$ acts on the finitely supported functions $G\to H$ by translation.
= Wreath product
{title2=$H\wr G$}
{wiki}
The restricted wreath product of groups $H$ and $G$ is
$$
H\wr G=\left(\bigoplus_{g\in G}H_g\right)\rtimes G,
$$
where $G$ acts on the finitely supported functions $G\to H$ by translation.