Morita equivalence classes of 2-blocks of defect three

Eaton, Charles

doi:10.1090/proc/12886

Morita equivalence classes of $2$-blocks of defect three
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Proc. Amer. Math. Soc. 144 (2016), 1961-1970 Request permission

Abstract:

We give a complete description of the Morita equivalence classes of blocks with elementary abelian defect groups of order $8$ and of the derived equivalences between them. A consequence is the verification of Broué’s abelian defect group conjecture for these blocks. It also completes the classification of Morita and derived equivalence classes of $2$-blocks of defect at most three defined over a suitable field.

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