Question: (i) Let 1 2 be a group homomorphism, with = (). Show that is a subgroup of 1 such that ^1 , and 1. (ii)

(i) Let 1 2 be a group homomorphism, with = (). Show that is a subgroup of 1 such that ^1 , and 1.

(ii) Let 1 2 be a group homomorphism, with = (). Show that is a subgroup of 1 such that ^ 1 , and 2.

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