Splendid Morita equivalences for principal blocks with semidihedral defect groups

Koshitani, Shigeo; Lassueur, Caroline; Sambale, Benjamin

doi:10.1090/proc/15631

Splendid Morita equivalences for principal blocks with semidihedral defect groups
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by Shigeo Koshitani, Caroline Lassueur and Benjamin Sambale PDF

Proc. Amer. Math. Soc. 150 (2022), 41-53 Request permission

Abstract:

We classify principal blocks of finite groups with semidihedral defect groups up to splendid Morita equivalence. This completes the classification of all principal $2$-blocks of tame representation type up to splendid Morita equivalence and shows that Puig’s Finiteness Conjecture holds for such blocks.

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