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arXiv · 2310.05734

Morita equivalence classes of $2$-blocks with abelian defect groups of rank $4$

Charles W. Eaton·Michael Livesey
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Abstract

We classify all $2$-blocks with abelian defect groups of rank $4$ up to Morita equivalence. The classification holds for blocks over a suitable discrete valuation ring as well as for those over an algebraically closed field. An application is that Broué's abelian defect group conjecture holds for all blocks under consideration here.

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Charles W. Eaton, Michael Livesey. 2024-09-13. Morita equivalence classes of $2$-blocks with abelian defect groups of rank $4$. https://doi.org/10.1112/jlms.12943

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