Question: I need help with these two Abstract Algebra problems please, I need help with all parts please, and please make it legible. 1. If |G|

I need help with these two Abstract Algebra problems please, I need help with all parts please, and please make it legible.

I need help with these two Abstract Algebra
1. If |G| = pq, where p and q are primes that are not necessarily distinct, prove that |Z(G)| = 1 or pq. Reflective Narrative 2. Let N be a normal subgroup of a finite group G. Prove that the order of the group element 9N in (UN divides the order of g. Reflective Narrative

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