Subdirect product closed fitting classes

In [2] we pointed out that the class of finite soluble groups whose socle is central is an R 0-closed Fitting class. It follows that if p, q are primes, the class S p S q contains a proper, non-nilpotent, R 0-closed Fitting class. This contrasts with the closure operations S, E o and, when q|p−1, Q — see [2] for details and notation. Here we prove

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