Hyperfocal abelian Frobenius blocks have hyperfocal subalgebras stably Morita equivalent to Frobenius group algebras, implying Broué's abelian defect group conjecture for Klein four hyperfocal subgroups.
Rouquier, Block theory via stable and Rickard equivalences, in: Modular Representation Theory of Finite Groups, Charlottesville, VA, 1998, de Gruyter, Berlin, 2001, pp
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Hyperfocal subalgebras of hyperfocal abelian Frobenius blocks
Hyperfocal abelian Frobenius blocks have hyperfocal subalgebras stably Morita equivalent to Frobenius group algebras, implying Broué's abelian defect group conjecture for Klein four hyperfocal subgroups.