Polyolefin production using an improved catalyst system and, in particular, a method for production of a polyolefin is disclosed. One or more monomers are contacted with a catalyst system. The catalyst system includes titanium tetrachloride as a catalyst precursor and magnesium ethylate as a support for the catalyst precursor. The catalyst system also includes a hydrocarbyl aluminum cocatalyst represented by the formula R3Al, where R is an alkyl radical having 1 to 14 carbon atoms, and where the molar ratio of the hydrocarbyl aluminum cocatalyst to the titanium tetrachloride catalyst precursor ranges from 50:1 to 400:1. The catalyst system also includes a halogenated hydrocarbon as a promoter, where the molar ratio of the halogenated hydrocarbon promoter to the titanium tetrachloride catalyst precursor ranges from 0.001:1 to 300:1.