Flexible G-loop

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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 Universally flexible loop|FULL LIST, MORE INFO
G-loop |FULL LIST, MORE INFO
Universally flexible loop |FULL LIST, MORE INFO