Retract of free group

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This article describes a property that arises as the conjunction of a subgroup property: retract with a group property imposed on the ambient group: free group
View a complete list of such conjunctions | View a complete list of conjunctions where the group property is imposed on the subgroup

Definition

A retract of free group is a retract of a free group.

Relation with other properties

Stronger properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
Free factor of free group retract not implies free factor in free group |FULL LIST, MORE INFO

Weaker properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
Subgroup of free group |FULL LIST, MORE INFO