Zotero's Groups feature allows you to share references with other Zotero users online. It's a great way to work on collaborative research projects.
First, set up Zotero sync and synchronize your library (see section 10 of this guide, "Syncing Your Library").
You now have two sections in your Zotero collections pane: My Library and Group Libraries.
Personal and group libraries are entirely separate, and changes made to items in one library do not affect the other. You can drag items back and forth between libraries to copy items.
Groups may be public (searchable, and anyone can join) or private (users can only join if invited).