Splendid Morita equivalences for principal blocks with generalised quaternion defect groups

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.

arXiv admin note: text overlap with arXiv:1712.09274