Splendid Morita equivalences for principal blocks with generalised quaternion defect groups

Published 12 Jul 2018 in math.RT and math.GR | (1807.04497v2)

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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