Flexible G-loop
This article defines a property that can be evaluated for a loop.
View other properties of loops
Definition
A loop is termed a flexible G-loop if it is both a flexible loop and a G-loop.
Relation with other properties
Stronger properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| Group | group implies G-loop, associative implies flexible | |FULL LIST, MORE INFO |
Weaker properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| Flexible loop | |FULL LIST, MORE INFO | |||
| G-loop | |FULL LIST, MORE INFO | |||
| Universally flexible loop | |FULL LIST, MORE INFO |