SOLID SUPPORT-POLYMETHYLALUMINOXANE COMPLEX, METHOD FOR PRODUCING SAME, OLEFIN POLYMERIZATION CATALYST, AND METHOD FOR PRODUCING POLYOLEFIN

Disclosed is a solid support-polymethylaluminoxane complex exhibiting a higher polymerization activity than a conventional substance and being homogeneous. Also disclosed is a method for producing an olefin-based polymer having a favorable quality using the complex and a transition metal compound. The complex comprises a coating layer containing polymethylaluminoxane and trimethylaluminum on the surface of a solid support. The coating layer comprises a solid polymethylaluminoxane composition in which (i) the content of aluminum is in a range of 36 to 41 mass % and (ii) the molar fraction of methyl groups derived from a trimethylaluminum moiety to the total number of moles of methyl groups is 12 mol % or less. Also disclosed is an olefin polymerization catalyst comprising the complex and a transition metal compound represented by general formula (III): MR5R6R7R8 as catalyst components, and a method for producing a polyolefin comprising polymerizing an olefin using the catalyst.