“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]
(..) on behalf of the United States government. The delegation is at your discretion, Mr. President. It might be good for you to have some support. Her presence undermines my authority as Secretary of State. Cathy, Petrov is incredibly stubborn. Trust me, I know. Why wouldn't you wanna have (..)2016 TvShow: House of Cards Title: Chapter 45 Season: 4 Episode 6
(..) I knew what I was doing. Forgive me, Claire, but it seems to me that you are taking advantage of the situation to assert authority you don't have a right to assert. Cathy, you don't have Francis right now. I'm the best thing you've got, so please work with me on this. (..)2016 TvShow: House of Cards Title: Chapter 45 Season: 4 Episode 6