Fake profiles are distressingly common on LinkedIn, but fortunately getting rid of a connection is simple. Go to the person’s profile page; click on their name (you may need to do this twice, depending on which page you start from).  Click on the down arrow to the right of the “Send a message” and “Endorse” buttons. Select “Block” or “Report.” Choose Report to submit a person to LinkedIn for review. Choose Block if you just want to keep them away from your profile.