Nilpotent Moufang loop

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This article defines a property that can be evaluated for a loop.
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This is a variation of nilpotent group|Find other variations of nilpotent group |

Definition

A nilpotent Moufang loop is a loop that is both a nilpotent loop and a Moufang loop.

Relation with other properties

Stronger properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
Nilpotent group
Moufang loop of prime power order Moufang loop whose order (size) is a prime power prime power order implies nilpotent for Moufang loops

Weaker properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
Solvable Moufang loop