Strongly central series
This article defines a property that can be evaluated for a subgroup series
View a complete list of properties of subgroup series
is termed strongly central if for every .
(A similar definition works for transfinite series).
The lower central series and upper central series of a nilpotent group are both examples of strongly central series. Further information: Lower central series is strongly central, Upper central series is strongly central
Relation with other properties
- Normal series: For full proof, refer: Strongly central series implies normal series
- Central series: For full proof, refer: Strongly central series implies central series