Will other members of facebook groups know which members was banned?

[Tom]

I am an admistrator of a group on facebook, If I banned a member;
1.) Will the other members of the group know who I have banned? Other than just able to look at the group list and figure who is missing.
2.) Will other members be able to re-add the banned member? Or only the admistrator have this ability?
Facebook need an obtion that only allow the admistrators to add members. Instead of members can add other members.