Defining an Arbitrary Group

 Defining an Arbitrary Group

I learned today,while doing my homework, that Mathematica can understand group theory. Combing through the documentation though just gave the examples of permutation groups. I would like to know how to define an arbitrary group, some set and a binary operation on that set. Ideally, this would allow the use of the other built-in functions such as those for finding the order of a group or element, etc.

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