Prove this is true for every group G, or give a counter example to show this is false in some groups: If x^2 = a^2, then x=a
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Originally Posted by jzellt Prove this is true for every group G, or give a counter example to show this is false in some groups: If x^2 = a^2, then x=a Obviously, you need a counterexample to . - What about with multiplication?
Another, simpler, example is the set {1, -1} with multiplication as operation. Yet, another, the Klein 4-group. In fact, any finite group whose order is even!
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