Abstract
A finite group [Formula: see text] is said to be a minimal non-[Formula: see text] group if [Formula: see text] itself is not a group of nilpotency class [Formula: see text] and all of whose proper subgroups are of nilpotency class [Formula: see text]. In this paper, we get a upper bound of nilpotency class of a minimal non-[Formula: see text] [Formula: see text]-group and some properties about minimal non-[Formula: see text] [Formula: see text]-groups.
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