We prove that splendid Morita equivalences between principal blocks of finite groups with dihedral Sylow *2*-subgroups realised by Scott modules can be lifted to splendid Morita equivalences between principal blocks of finite groups with generalised quaternion Sylow *2*-subgroups realised by Scott modules.

March 7, 2019

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Splendid Morita equivalences for principal blocks with generalised quaternion defect groups

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