Math 2.0

concept

Nilpotent group

Summary

A nilpotent group is a group that has a central series of finite length. Equivalently, its lower central series reaches the trivial subgroup, or its upper central series reaches the whole group.

What this node needs for W2
  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

The writing levels say how complete the text of a node is. They do not measure its truth.

Sources

  1. Web https://en.wikipedia.org/wiki/Nilpotent_group, Definition