Question: These are two Abstract Algebra problems, that I need help with please. I need help with the solution and the proof which is what the

These are two Abstract Algebra problems, that I need help with please. I need help with the solution and the proof which is what the reflective narrative is asking for. Please make it legible.

1. If |G | = pq, where p and q are primes that are not necessarily distinct, prove that IZ(G) | = 1 or pq. Solution Reflective Narrative 2. Let / be a normal subgroup of a finite group G. Prove that the order of the group element gN in G/N divides the order of g. Solution Reflective Narrative

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