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arxiv: 1612.03485 · v4 · pith:72737IE6new · submitted 2016-12-11 · 🧮 math.GR

Morita equivalence classes of blocks with elementary abelian defect groups of order 16

classification 🧮 math.GR
keywords defectblocksabelianclasseselementaryequivalencegroupgroups
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We classify the Morita equivalence classes of blocks with elementary abelian defect groups of order $16$ with respect to a complete discrete valuation ring with algebraically closed residue field of characteristic two. As a consequence, blocks with this defect group are derived equivalent to their Brauer correspondent in the normalizer of a defect group and so satisfy Brou\'e's Conjecture.

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