"Dicax" is Latin meaning "sarcastic, witty". The "alligator" part of the name presumably refers to the member being from Florida.
I suppose it's better than calling himself "Florida Man". (For the uninitiated, there is a meme surrounding the fact that so many bizarre things happen in Florida, and a common headline is, for instance, "Florida Man Wanted In Kidnapping Case", "Florida Man Caught Dealing Crystal Meth", and so on. The joke is that "Florida Man" appears to be a
single person who causes all sorts of mischief and mayhem.)