The Brauer indecomposability of Scott modules with wreathed $2$-group vertices

Shigeo Koshitani, İpek Tuvay

We give a sufficient condition for the $kG$-Scott module with vertex $P$ to remain indecomposable under taking the Brauer construction for any subgroup $Q$ of $P$ as $k[Q{C}_G(Q)]$…