Verify that the klein four group v4 is indeed agroup ?

Question

Verify that the klein four group v4 is indeed agroup ?

Answer 1

Since you have asked mathematical questions for proving groups with this component before, I assume that's what you are asking verification for.  You will get better answers if you ask your question in the Mathematics category like you did before.

Answer 2

You need to look at the rules for groups:

Does it have an associative binary operation?

It obviously has a binary operation. If you really want to, you can refer to a multiplication table to verify associativity. See:

http://en.wikipedia.org/wiki/Klein_four-...

Does every element have an inverse?

Yes. Every element is its own inverse.

Does it have an identity?

Yes.

That's it. It's a group.