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.
Brou´ e, Equivalences of blocks of group algebras, in: V
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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.