This article defines a property that can be evaluated for a loop.
View other properties of loops
ANALOGY: This is an analogue in loop of a property encountered in group. Specifically, it is a loop property analogous to the group property: nilpotent group
View other analogues of nilpotent group | View other analogues in loops of group properties (OR, View as a tabulated list)
A nilpotent loop (also called a centrally nilpotent loop) is a loop whose upper central series reaches the whole loop in finitely many steps.
Relation with other properties
|| Proof of implication
|| Proof of strictness (reverse implication failure)
|| Intermediate notions
| solvable loop