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

2016/12/11 by Charles W. Eaton, Eaton, Charles W.
Computer Science · Mathematics · #Algebraic structures and combinatorial models #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1612.03485

openalex publication_date 2016/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify the Morita equivalence classes of blocks with elementary abelian\ndefect groups of order 16 with respect to a complete discrete valuation ring\nwith algebraically closed residue field of characteristic two. As a\nconsequence, blocks with this defect group are derived equivalent to their\nBrauer correspondent in the normalizer of a defect group and so satisfy\nBrou 'e's Conjecture.\n

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