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We show that two blocks of generalized quaternion defect with three simplemodules over a sufficiently large $2$-adic ring $\mathcal O$ areMorita-equivalent if and only if the corresponding blocks over the residuefield of $\mathcal O$ are Morita-equivalent. As a corollary we show that anytwo blocks defined over $\mathcal O$ with three simple modules and the samegeneralized quaternion defect group are derived equivalent.

Blocks with a generalized quaternion defect group and three simple modules over a 2-adic ring