# locally indicable

Definition from Wiktionary, the free dictionary

## English[edit]

### Adjective[edit]

**locally indicable** (*not comparable*)

- (algebra, of a group) Such that each of its finitely generated subgroups maps homomorphically onto ℤ.

#### Usage notes[edit]

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