Cyclic Group:
A cyclic group is a type of mathematical group that is generated by a single element. In other words, every element in the group can be expressed as a power of a single element, called the generator. The generator can be any element within the group.

Abelian Group:
An abelian group, also known as a commutative group, is a group in which the group operation is commutative. This means that for any two elements a and b in the group, the product of a and b is the same as the product of b and a.

Explanation:
To determine whether a cyclic group is always an abelian group, we need to understand the properties of a cyclic group.

1. Cyclic Group:
- A cyclic group is generated by a single element, called the generator.
- Every element in the group can be expressed as a power of the generator.
- The generator can be any element within the group.
- The group operation is defined as multiplication or exponentiation of the generator.

2. Abelian Group:
- An abelian group is a group in which the group operation is commutative.
- For any two elements a and b in the group, the product of a and b is the same as the product of b and a.
- In other words, the order of the elements does not affect the result of the group operation.

3. Relation between Cyclic and Abelian Groups:
- Since a cyclic group is generated by a single element, the group operation is commutative.
- The generator is the only element in the group, and any combination of the generator will result in the same element.
- Therefore, every element in the cyclic group commutes with every other element.
- This property makes all cyclic groups abelian groups.

Conclusion:
Based on the properties of cyclic groups and abelian groups, we can conclude that a cyclic group is always an abelian group. The commutative property of the group operation in a cyclic group ensures that the order of the elements does not affect the result, making it an abelian group. Hence, option 'A' is the correct answer.