Potentially positive element

This term is related to: free groups
View other terms related to free groups | View facts related to free groups

Definition

Symbol-free definition

An element in a finitely generated free group is said to be potentially positive if there exists a freely generating set for the group such that the expression of the element as a word in those generators has no negative exponents.

Relation with other properties

Stronger properties

• Primitive element

Weaker properties

• Stably potentially positive element