16.105 (2006)
OpenIs it true that a locally graded group which is a product of two almost polycyclic subgroups (equivalently, of two almost soluble subgroups with the maximal condition) is almost polycyclic?
Progress
By (N. S. Chernikov, Ukrain. Math. J., 32 (1980) 476–479) a locally graded group which is a product of two Chernikov subgroups (equivalently, of two almost soluble subgroups with the minimal condition) is Chernikov.
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