What are the three things we need to show to prove that an ordered pair is a group?
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- Prove that Ca=Ca1, where Ca is the centralizer of a in the group G.Label each of the following statements as either true or false. The Generalized Associative Law applies to any group, no matter what the group operation is.Label each of the following statements as either true or false. The order of the identity element in any group is 1.