Solvable 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 solvable group|Find other variations of solvable group |

Definition

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

Relation with other properties

Stronger properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
solvable group
nilpotent Moufang loop

Weaker properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
Moufang loop of group type (at least for finite Moufang loops) all composition factors are groups