Splendid Morita equivalences for principal blocks with generalised quaternion defect groups
classification
🧮 math.RT
math.GR
keywords
blocksequivalencesgroupsmoritaprincipalsplendidfinitegeneralised
read the original abstract
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.
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