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arXiv · 1908.02652

Morita equivalence classes of blocks with elementary abelian defect groups of order 32

Cesare Giulio Ardito
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Abstract

We describe a general technique to classify blocks of finite groups, and we apply it to determine Morita equivalence classes of blocks with elementary abelian defect groups of order 32 with respect to a complete discrete valuation ring with an algebraically closed residue field of characteristic two. As a consequence we verify that a conjecture of Harada holds on these blocks.

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BibTeXRIS

Cesare Giulio Ardito. 2019-08-07. Morita equivalence classes of blocks with elementary abelian defect groups of order 32. https://doi.org/10.1016/j.jalgebra.2020.12.036

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