Lower exponent-p central series
Here, is the subgroup generated by the powers of the elements from .
It is the fastest descending exponent-p central series.
Relation with other series
Corresponding ascending series
The following series are closely related:
Subgroup series properties
|fully invariant series||all the member subgroups are fully invariant subgroups||Yes||lower exponent-p central series is fully invariant|
|strongly central series||descending series where for all||Yes||lower exponent-p central series is strongly central|