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A group of order ,where is a prime number, is abelian.
Solution:- Let be a group of order , that is .
is a subgroup of
For is prime.
which imply that there exists such that .
is a proper subgroup of
For by assumption.
But is a subgroup of
In this solution, a detailed, step-wise response has been constructed to illustrate how to conduct a proof to show that something is abelian. The solution is detailed and well presented in an attached Word document.