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1. Morita equivalence classes of 2‐blocks with abelian defect groups of rank 4.

Author

Eaton, Charles W. and Livesey, Michael

Subjects
*ABELIAN groups, *MATHEMATICAL equivalence
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. [ABSTRACT FROM AUTHOR]

Published
2024
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