PERTANIKA JOURNAL OF TROPICAL AGRICULTURAL SCIENCE

The mapping class group of a surface is a quotient of the automorphism group Aut*Yofthe surface group by its normal subgroup of inner automorphism The determination ofAut^Ymay be looked upon as an extension problem This paper will give a presentation ofAut Y where Y is a surface group of genus two. The extension to Seifert fibre group will be given.