I always tag myself out of groups that ban me (only happened a couple of times anyway)
As for their facebook page, nothing is impenetrable ^^
NB :
I got banned from it very early too, I couldn't keep up the pretense very long though.
I don't think that FB allows much control over IPs and such like a forum would do though, so...
chronology
Moderators: Omphalos, Freakzilla, ᴶᵛᵀᴬ