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Dec 13, 2012 at 11:52 comment added Sh.M1972 @Andreas Carant: this is a nice point. Now we can conclude that if $G$ is a finite nilpotent group with all proper normal subgroups principal, then $G$ is cyclic or a $p$-group of maximal class.
Dec 13, 2012 at 9:22 history answered Andreas Caranti CC BY-SA 3.0