Blocks with elementary abelian defect group (C2)^5 are shown to be Morita equivalent to exactly one of 34 listed block algebras, and Harada's conjecture is verified for them.
Morita equivalence classes of blocks with elementary abelian defect groups of order 16
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abstract
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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Morita equivalence classes of blocks with elementary abelian defect groups of order 32
Blocks with elementary abelian defect group (C2)^5 are shown to be Morita equivalent to exactly one of 34 listed block algebras, and Harada's conjecture is verified for them.