The Problem of Group Isomorphism

How do we know what two groups are the same? Does it have to do with the permutations that you were talking about earlier? Certainly like the permutations of Elements also is part of a group or I don't know the wording. There's not a good way. What we try to do is figure out different properties of groups how we can compare them with each other Um, we do have a really good way if the groups are a vleum But if they're not it's so it's a struggle This is called the group isomorphism problem and it's just a famous hard problem.