estion 3. Suppose G is a group with order 99. Prove that G must have an element of order 3.
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[Groups and Symmetries] How do you solve the third question, thanks
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- Let A={ a,b,c }. Prove or disprove that P(A) is a group with respect to the operation of union. (Sec. 1.1,7c)Let H and K be subgroups of a group G and K a subgroup of H. If the order of G is 24 and the order of K is 3, what are all the possible orders of H?5. For any subgroup of the group , let denote the product as defined in Definition 4.10. Prove that corollary 4.19: