nilpotent group

A group is nilpotent if its lower central series terminates with the trivial subgroup after finitely many steps. Cf. nilpotent Lie algebra.

Every nilpotent group is an example of a solvable group (indeed, the groups in the lower central series of any group can be term-wise included into its derived series).

Created on June 16, 2011 18:13:00 by Zoran Škoda (