I'd have to say that there is no such thing as a 'Polish mafia', if you mean a mafia in the mold of Casa Nostra, Cammora, Vory z Zakone or the Jewish mafia, then no, the closest thing in Poland to those criminal organizations would have to be the government in Poland.
what's their names?
Tomek , Piotre , and a really dodgy guy named Jan....
I hate to admit it, but he answered your question.
My gf has pointed out some Mafia types in Krakow. Seemingly they control all the begging rackets in the city
Związek Żuli.