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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)9. Find all homomorphic images of the octic group.Label each of the following statements as either true or false. Two groups can be isomorphic even though their group operations are different.
- 6. For each of the following values of , describe all the abelian groups of order , up to isomorphism. b. c. d. e. f.Let be as described in the proof of Theorem. Give a specific example of a positive element of .Exercises 30. For an arbitrary positive integer, prove that any two cyclic groups of order are isomorphic.
