TITLE: On the local structure of stacks
QUESTION [5 upvotes]: 1) Is it true that any Deligne-Mumford stack is locally a quotient stack $[X/G]$ with a finite group $G$?
2) Is it true that any Deligne-Mumford stack can be globally presented as a quotient stack $[X/G]$ with a non necessarily finite group $G$? For example, Geigle and Lenzing give such a presentation for stacky projective lines here.
3) What about Artin stacks?

REPLY [2 votes]: I don't know the answer to (2) in the algebraic setting, but the analogous statement in the topological setting is true: https://arxiv.org/abs/1906.05816