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Generalization of a theorem of fitting on the product of two normal nilpotent subgroups of a group
(University of the Western Cape, 1977)
Fitting proved that if H and K are normal nilpotent
subgroups of G, then so is HK (t1 l'Hilfssatz 10, p. 100).
The question arises if this result could be generalized
to other group theoretical properties