There are several good books on Meyer Lansky: Robert Lacey's and Uri Dan's are particularly recommended as being the most detailed.

Eisenberg, Dennis and Uri Dan and Eli Landau, Meyer Lansky: Mogul of the Mob.   New York & London: Paddington Press, Ltd. 1979.

Lacey, Robert, Little Man: Meyer Lansky and the Gangster Life

Messick, Hank, Lansky. 

Another good source of information on major figures and movements in organized crime is Crime, Inc.: The inside Story of the Mafia's First 100 Years by William Balsamo and George Carpozi, Jr.