There are two ways to create Zotero groups.
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You can go to File → New Library → “New Group…” in Zotero.
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You can click the “Create a New Group” button on the groups landing page on zotero.org.
To invite new group members, click the “Send More Invitations” link at the bottom of this page. Pending invitations can also be cancelled from this page.
When you sync to the Zotero server, the reference you added will be uploaded to the Zotero server. Then when the other group members sync, that reference will show up in the group library folder in their Zotero library.
Full Instructions: https://www.zotero.org/support/groups
