Metanilpotent group

In mathematics, in the field of group theory, a metanilpotent group is a group that is nilpotent by nilpotent. In other words, it has a normal nilpotent subgroup such that the quotient group is also nilpotent.

In symbols, G is metanilpotent if there is a normal subgroup N such that both N and G / N are nilpotent.

The following are clear: