Prove that, there is no simple group of order 200.
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- Label each of the following statements as either true or false. Two groups can be isomorphic even though their group operations are different.Let be a group of order , where and are distinct prime integers. If has only one subgroup of order and only one subgroup of order , prove that is cyclic.If a is an element of order m in a group G and ak=e, prove that m divides k.