Magical Tome

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1.1 This work began by answering the implicit question that Michel Broué raises in [6, 6.C, (pu 1,2,3)], namely by proving that two blocks have the same defect group and isomorphic source algebras if and only if they are Monta equivalent via a bimodule with trivial source (actually, at that time this answer was already known to Leonard Scott: see Remark 7.5 below).
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