Natural transformations between induction and restriction on iterated wreath product of symmetric group of order $2$

Mee Seong Im, Can Ozan Oğuz

Let $\mathbb{C}{\mathsf{A}}_n=\mathbb{C}[S_2\wr S_2\wr \cdots \wr S_2]$ be the group algebra of $n$-step iterated wreath product. We prove some structural properties of $\mathsf{A}…