locally indicable

Adjective

 * 1)  Such that each of its nontrivial, finitely generated subgroups maps homomorphically onto ℤ.

Usage notes

 * A group G is, for any class of groups X, if each of G 's nontrivial, finitely generated subgroups maps homomorphically onto some group in X. G is , for any group H, if each of G  's nontrivial, finitely generated subgroups maps homomorphically onto H. Thus,  is synonymous with.