Use the Permission interface FileRename property to determine if a group or client has permissions to rename files and folders in a folder, and to allow or deny renaming permission.
HRESULT FileRename([out, retval] VARIANT_BOOL *pVal);
HRESULT FileRename([in] VARIANT_BOOL newVal);
True = Allowed
False = Prohibited
Refer to Permission Interface Properties for an illustration of how this and other Permission properties can be accessed in the Administrator interface.