The author is mistaken. "Big Six" refers to an ad hoc group of six gangsters--three Jews (Lansky, Siegel, Zwillman) and three Italians (Adonis, Costello and Luciano)--who got together at the famous May, 1929, gangster convention in Atlantic City, NJ. The agreed to cartelize the booze trade along the US East Coast. They were never "the Commission," which wasn't formed until after the Castellemmarese War of 1930-31, and after Luciano arranged for the assassinations of Joe Masseria and Salvatore Maranzano. Jews (Lansky, Siegel, Dutch Shultz) sat with the Commission at times, but were never members.