Let G be the direct sum: G = G G2 O .. Gn for groups G1, .., Gn. H := {(g1, eG2; CGa ., CGn ) |91 G1} (a) Use the first isomorphism theorem to show that: i. H1 is a normal subgroup of G ii. G/H1 = G2 O G3 O . O Gn ... (b) Show that H1 G1.