To show that $G$ is Abelian, we need to demonstrate that $G$ is a commutative group, meaning that for any two elements $a$ and $b$ in $G$, the operation in the group satisfies $a \cdot b = b \cdot a$.

However, the current question doesn't specify what group $G$ refers to or its operation. Usually, these types of problems follow from group properties or specific definitions of the group $G$.

Could you clarify or provide more context about the group $G$? It could be, for example:

• A group of matrices,
• A group of permutations,
• A group of real or complex numbers under a certain operation, etc.

Let me know if you can give more detail, and I'd be happy to proceed further!

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Would you like additional context on Abelian groups, or do you have other questions? Here are some related topics:

1. What is a group in abstract algebra?
2. What is a commutative operation?
3. Why is the property of being Abelian important?
4. Can all groups be Abelian?
5. Examples of non-Abelian groups.

Tip: In Abelian groups, the order in which you combine two elements doesn't matter, but this isn't true for all groups.