Solvable Moufang loop
From Groupprops
This article defines a property that can be evaluated for a loop.
View other properties of loops
This is a variation of solvable group|Find other variations of solvable group |
Contents
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 |