Given a dihedral *2*-group *P* of order at least~8, we classify the splendid Morita equivalence classes of principal *2*-blocks with defect groups isomorphic to *P*. To this end we construct explicit stable equivalences of Morita type induced by specific Scott modules using Brauer indecomposability and gluing methods; we then determine... Show more

March 7, 2019

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Splendid Morita equivalences for principal 2-blocks with dihedral defect groups

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