Question: Let G be the direct sum: G = G1 G2 O ...O Gn for groups G1,.., Gn. H1 := {(91, eG2, CG31..., eG)[91 G1}

Let G be the direct sum: G = G1 G2 O ...O

Let G be the direct sum: G = G1 G2 O ...O Gn for groups G1,.., Gn. H1 := {(91, eG2, CG31..., eG)[91 G1} (a) Use the first isomorphism theorem to show that: i. H1 is a normal subgroup of G G3 O . ii. G/H1 = G2 Gn (b) Show that H1 = G1.

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