Solvable Moufang loop: Difference between revisions
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===Stronger properties=== | |||
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| [[Weaker than::nilpotent Moufang loop]] || || || || | | [[Weaker than::nilpotent Moufang loop]] || || || || | ||
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===Weaker properties=== | |||
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! Property !! Meaning !! Proof of implication !! Proof of strictness (reverse implication failure) !! Intermediate notions | |||
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| [[Stronger than::Moufang loop of group type]] || all composition factors are groups || || || | |||
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Revision as of 03:33, 20 August 2011
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 |
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 | all composition factors are groups |