If Alphas are the elite men, that all women desire, according to Greek society (a fraternal order; not specifically of the 33rd degree), and Betas are an annoyance to the alphas (constantly cock-blocking them), then Zetas are on the other spectrum so far removed from dating and relationships, that they are nearly unrecognizable to all.

In the bible, it reads God spoke "I am the Alpha and the Omega", Ɵ, Omega being the last; the Greeks were very deeply involved in mathematics. Not just Aristotle and Archimedes, but many of the scholars had deep understanding of the many of the constants used in circles, squares, radiuses, etc.

Zombies would be the end, many considered "undead", some missing heaps of flesh, many unarmed resorting to biting their enemies, most unable to utter a comprehendible word, gurgling blood and chasing their enemies around. Zetas of course, another Greek symbol; would be the step just before zombification, perhaps at the beginning or end of retirement already looking into buying coffins for themselves and purchasing life insurance (giving their loved ones a reason to put them in the graves). Well anyways, if you aren't part of Zeta society, or any fraternal order I'd ignore them. Not everyone can make it into the right fraternity in college. Can't control them all, no?