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No, the two things are unrelated. A class (in computer science) is a programming building block or unit. You can think of a class as a DATA TYPE - since you can define new data types based on classes.Note that, while a "group" can also be thought of as defining a class, a group is actually a set (and associated operations) which fulfill VERY SPECIFIC REQUIREMENTS (such as the existence of a neutral element, and the associative property). There are no such requirements for classes in computer programming.

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Q: Is the concept of Classes in Computer Science similar to the concept of Groups in Mathematics?
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