Splendid Morita equivalences for principal blocks with semidihedral defect groups

Published 16 Oct 2020 in math.RT and math.GR | (2010.08541v1)

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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