Rationally powered nilpotent group
This page describes a group property obtained as a conjunction (AND) of two (or more) more fundamental group properties: rationally powered group and nilpotent group
View other group property conjunctions OR view all group properties
A group is termed a rationally powered nilpotent group if it satisfies the following equivalent conditions:
- It is both a rationally powered group and a nilpotent group.
- It is a nilpotent group and its abelianization is a rationally powered group.
Relation with other properties
|Property||Meaning||Proof of implication||Proof of strictness||Reverse implication failure|
|Lazard Lie group||Global Lazard Lie group|FULL LIST, MORE INFO|
|torsion-free nilpotent group|||FULL LIST, MORE INFO|
|divisible nilpotent group|||FULL LIST, MORE INFO|