13.54 (1995)

Partially Solved

a) Is it true that, for $p$ sufficiently large, every (finite) $p$-group can be a complement in some Frobenius group (see 6.55)?
b) Is it true that every group is embeddable in the kernel of some Frobenius group (see 6.53)?

Progress

b) Yes, it is true (V. V. Bludov, Siberian Math. J., 38, no. 6 (1997), 1054–1056).

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