This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
View a complete list of group properties
VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions
This is a variation of nilpotence|Find other variations of nilpotence | Read a survey article on varying nilpotence
Relation with other properties
- Nilpotent group: Here, the lower central series terminates at the identity in finitely many steps, the number of steps being the nilpotence class.
- Residually nilpotent group: Here, the intersection of the finite terms of the lower central series is the trivial group.