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arXiv · 1612.03485

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

Charles W. Eaton
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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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Charles W. Eaton. 2016-12-11. Morita equivalence classes of blocks with elementary abelian defect groups of order 16. https://arxiv.org/abs/1612.03485

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