SQL UPDATE question

What I'm trying to do here is clear though my syntax is wrong.
What's correct for the UPDATE statement?

create table table1( A int, B int, C int);
create table table2( A int, B int, C int, D int);
insert into table1 (A,B,C) values(1,1,99);
insert into table2 (A,B,C,D) values(1,1,15,27),(1,1,3,13);

UPDATE table2
SET table2.C = table1.C
WHERE table2.A = table1.A
AND table2.B = table1.B
AND table2.D = (SELECT MAX(D)
FROM table2 dd
WHERE dd.A = table1.A
AND dd.B = table1.B
GROUP BY dd.A, dd.B);