If you, if possible, prevent the renaming of folders, the user can't create any new folder with the explorer.
On right-click in explorer to create a new folder, explorer creates a new folder with "new folder"-Name.
Than the user can rename the "new folder" to what ever he want.
If you prevent the renaming, than you have only "New Folder", "New Folder (2)" ...
Or you must provide a tool (programm) to create the new folder and set then the authority to Public read/execute-only. But you must also change the owner, because the owner can change the authority at every time.