Blocks with defect group $\mathbb Z_{2^n}\times \mathbb Z_{2^n}\times \mathbb Z_{2^m}$

In this paper, we prove that a block with defect group $mathbb Z_{2^n}times mathbb Z_{2^n}times mathbb Z_{2^m}$, where $ngeq 2$ and $m$ is arbitrary, is Morita equivalent to its Brauer correspondent.