Can I open documents for users to view/edit without sending them an email link to that document?

Can I open documents for users to view/edit without sending them an email link to that document?

I'd prefer NOT to email the folks in my group every time I add a document. I'd also prefer not to have to assign the document to specific people. Is there a way to make a document open to your group when you upload it, and without send an email notification?