“Who gave him the 'authority' to do this?” “He didn't do it 'on his own authority' [=he didn't do it on his own]; he was acting 'under the authority of' the company president.” [=the company president gave him the power to do it]
No one 'in authority' objected to the plan. = No one 'in a position of authority' objected to the plan. [=no one with official power to make important decisions objected to the plan]
This office has 'authority' over personnel matters. [=this office has the power to make decisions about personnel matters]
(..) and I got here, and I didn't know anybody. And I ended up living with this albino guy who was, like, cleaning windshields outside port authority, and then he killed himself, and then I found aromatherapy. So believe me, I know exactly how you feel. The word you're looking for is 'Anyway'... (..)1994 TvShow: Friends Title: The One Where Monica Gets a Roommate Season: 1 Episode 1