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.
Watanabe, On perfect isometries for blocks with abelian defect groups and cyclic hyperfocal subgroups, Kumamoto J
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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.