# Is there a finite generating set for the Torelli group $T_2$?

D.Johnson showed in 1983 that for g>2 , the Torelli group $Tg$ has a finite set of generators. I have not been able to find out what the case is for g=1,2; does anyone know of any result for generating sets for these cases (i.e., are there finite generating sets for g=1,2)?

Thanks.

-