학술논문
Morita equivalence classes of $2$-blocks with abelian defect groups of rank $4$
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Working Paper
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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 Brou\'{e}'s abelian defect group conjecture holds for all blocks under consideration here.
Comment: 29 pages
Comment: 29 pages