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

PDF

Related Concepts

Mathematics Centralizer and normalizer Abelian group Algebraically closed field Discrete valuation ring Elementary abelian group Pure mathematics Morita equivalence Residue field Rank of an abelian group Equivalence (formal languages) Conjecture Combinatorics Discrete mathematics Field (mathematics)

Charles W. Eaton ·

YOU? · · 2016 · Open Access · · DOI: https://doi.org/10.48550/arxiv.1612.03485 · OA: W2564309519

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 Broué's Conjecture.