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arXiv · 1807.04497

Splendid Morita equivalences for principal blocks with generalised quaternion defect groups

Shigeo Koshitani·Caroline Lassueur
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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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Shigeo Koshitani, Caroline Lassueur. 2018-07-12. Splendid Morita equivalences for principal blocks with generalised quaternion defect groups. https://arxiv.org/abs/1807.04497

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